On the spectrum of the Page and the Chen–LeBrun–Weber metrics
We give bounds on the first non-zero eigenvalue of the scalar Laplacian for both the Page and the Chen–LeBrun–Weber Einstein metrics. One notable feature is that these bounds are obtained without explicit knowledge of the metrics or numerical approximation to them. Our method also allows the estimat...
Uloženo v:
| Vydáno v: | Annals of global analysis and geometry Ročník 46; číslo 1; s. 87 - 101 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Dordrecht
Springer Netherlands
01.06.2014
Springer Nature B.V |
| Témata: | |
| ISSN: | 0232-704X, 1572-9060 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | We give bounds on the first non-zero eigenvalue of the scalar Laplacian for both the Page and the Chen–LeBrun–Weber Einstein metrics. One notable feature is that these bounds are obtained without explicit knowledge of the metrics or numerical approximation to them. Our method also allows the estimation of the invariant part of the spectrum for both metrics. We go on to discuss an application of these bounds to the linear stability of the metrics. We also give numerical evidence to suggest that the bounds for both metrics are extremely close to the actual eigenvalue. |
|---|---|
| AbstractList | We give bounds on the first non-zero eigenvalue of the scalar Laplacian for both the Page and the Chen-LeBrun-Weber Einstein metrics. One notable feature is that these bounds are obtained without explicit knowledge of the metrics or numerical approximation to them. Our method also allows the estimation of the invariant part of the spectrum for both metrics. We go on to discuss an application of these bounds to the linear stability of the metrics. We also give numerical evidence to suggest that the bounds for both metrics are extremely close to the actual eigenvalue. [PUBLICATION ABSTRACT] We give bounds on the first non-zero eigenvalue of the scalar Laplacian for both the Page and the Chen–LeBrun–Weber Einstein metrics. One notable feature is that these bounds are obtained without explicit knowledge of the metrics or numerical approximation to them. Our method also allows the estimation of the invariant part of the spectrum for both metrics. We go on to discuss an application of these bounds to the linear stability of the metrics. We also give numerical evidence to suggest that the bounds for both metrics are extremely close to the actual eigenvalue. |
| Author | Murphy, Thomas Hall, Stuart J. |
| Author_xml | – sequence: 1 givenname: Stuart J. surname: Hall fullname: Hall, Stuart J. email: stuart.hall@buckingham.ac.uk organization: Department of Applied Computing, University of Buckingham – sequence: 2 givenname: Thomas surname: Murphy fullname: Murphy, Thomas organization: Départment de Mathématique, Université Libre de Bruxelles, Department of Mathematics, McMaster University |
| BookMark | eNp9kE1OwzAQhS0EEm3hAOwisTZ4HDtOlqXiT6pUFiDYWU4yblO1TrGdBTvuwA05CWnLAiGBZjHzpPfNjN6QHLrWISFnwC6AMXUZgAkpKQNBCwGcZgdkAFJxWrCMHZIB4ymniomXYzIMYckYkynAgIxnLokLTMIGq-i7ddLanX4wc0yMq3diskD3-f4xxSvfbYdnLNEna4y-qcIJObJmFfD0u4_I08314-SOTme395PxlFYpZJFiiiCFsKW1oPIiBywslqlVBTKVq1rZPM8qyHmmRAmWMWFMIdNamFIUdW3SETnf79349rXDEPWy7bzrT2qQXPSlJO9dsHdVvg3Bo9Ub36yNf9PA9DYpvU9K90npbVI66xn1i6maaGLTuuhNs_qX5Hsy9FfcHP2Pn_6EvgDRwH9G |
| CitedBy_id | crossref_primary_10_1007_s00208_024_02824_w crossref_primary_10_1017_S0013091516000444 crossref_primary_10_1007_s12220_020_00524_w |
| Cites_doi | 10.1007/s12220-012-9343-z 10.1112/plms/84.1.213 10.1142/S0129167X98000282 10.4310/PAMQ.2009.v5.n2.a2 10.1007/s00220-008-0558-6 10.1090/S0894-0347-08-00594-8 10.1103/PhysRevD.28.2436 10.1007/s00208-011-0701-0 10.1017/S0027763000014847 10.1201/9781003072393-11 10.1088/1126-6708/2008/07/120 |
| ContentType | Journal Article |
| Copyright | Springer Science+Business Media Dordrecht 2014 |
| Copyright_xml | – notice: Springer Science+Business Media Dordrecht 2014 |
| DBID | AAYXX CITATION 3V. 7SC 7TB 7WY 7WZ 7XB 87Z 88I 8AL 8AO 8FD 8FE 8FG 8FK 8FL 8G5 ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FR3 FRNLG F~G GNUQQ GUQSH HCIFZ JQ2 K60 K6~ K7- KR7 L.- L6V L7M L~C L~D M0C M0N M2O M2P M7S MBDVC P5Z P62 PHGZM PHGZT PKEHL PQBIZ PQBZA PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U |
| DOI | 10.1007/s10455-014-9412-6 |
| DatabaseName | CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts ABI/INFORM Collection ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Science Database (Alumni Edition) Computing Database (Alumni Edition) ProQuest Pharma Collection Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni Edition) Research Library (Alumni Edition) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central Business Premium Collection Technology collection ProQuest One Community College ProQuest Central Engineering Research Database Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student Research Library Prep SciTech Premium Collection ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database Civil Engineering Abstracts ABI/INFORM Professional Advanced ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ABI/INFORM Global (OCUL) Computing Database Research Library Science Database Engineering Database Research Library (Corporate) ProQuest advanced technologies & aerospace journals ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic ProQuest One Academic Middle East (New) ProQuest One Business (OCUL) ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering collection ProQuest Central Basic |
| DatabaseTitle | CrossRef ProQuest Business Collection (Alumni Edition) Research Library Prep Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts SciTech Premium Collection ProQuest Central China ABI/INFORM Complete ProQuest One Applied & Life Sciences ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest Business Collection ProQuest One Academic UKI Edition Engineering Research Database ProQuest One Academic ProQuest One Academic (New) ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Central (Alumni Edition) ProQuest One Community College Research Library (Alumni Edition) ProQuest Pharma Collection ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ProQuest Central Korea ProQuest Research Library Advanced Technologies Database with Aerospace ABI/INFORM Complete (Alumni Edition) Civil Engineering Abstracts ProQuest Computing ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni) |
| DatabaseTitleList | ProQuest Business Collection (Alumni Edition) |
| Database_xml | – sequence: 1 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1572-9060 |
| EndPage | 101 |
| ExternalDocumentID | 3302678941 10_1007_s10455_014_9412_6 |
| Genre | Feature |
| GroupedDBID | -52 -5D -5G -BR -EM -Y2 -~C .86 .VR 06D 0R~ 0VY 1N0 1SB 2.D 203 23M 2J2 2JN 2JY 2KG 2LR 2P1 2VQ 2~H 30V 3V. 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 7WY 88I 8AO 8FE 8FG 8FL 8FW 8G5 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDBF ABDZT ABECU ABFTV ABHLI ABHQN ABJCF ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACGOD ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFKRA AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN AZQEC B-. BA0 BAPOH BBWZM BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ BSONS CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DWQXO EBLON EBS EIOEI EJD ESBYG ESX FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GQ8 GROUPED_ABI_INFORM_COMPLETE GROUPED_ABI_INFORM_RESEARCH GUQSH GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IHE IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K60 K6V K6~ K7- KDC KOV KOW L6V LAK LLZTM M0C M0N M2O M2P M4Y M7S MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P P62 P9R PF0 PQBIZ PQBZA PQQKQ PROAC PT4 PT5 PTHSS Q2X QOK QOS R4E R89 R9I RHV RNI ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SDD SDH SDM SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TSG TSK TSV TUC TUS U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 ZMTXR ZWQNP ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG AEZWR AFDZB AFFHD AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP AMVHM ATHPR AYFIA CITATION PHGZM PHGZT PQGLB 7SC 7TB 7XB 8AL 8FD 8FK FR3 JQ2 KR7 L.- L7M L~C L~D MBDVC PKEHL PQEST PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c316t-e3e1544fbff178981e9feb3f79e0787d7f886c182674b1f004aa953d4ab49dda3 |
| IEDL.DBID | M2P |
| ISICitedReferencesCount | 7 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000335959100006&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0232-704X |
| IngestDate | Wed Nov 05 15:01:57 EST 2025 Tue Nov 18 22:07:49 EST 2025 Sat Nov 29 03:38:27 EST 2025 Fri Feb 21 02:34:34 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Toric-Kähler metric Ricci flow Einstein metric Linear stability Spectrum of Laplacian |
| Language | English |
| License | http://www.springer.com/tdm |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c316t-e3e1544fbff178981e9feb3f79e0787d7f886c182674b1f004aa953d4ab49dda3 |
| Notes | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 |
| PQID | 1524242752 |
| PQPubID | 31777 |
| PageCount | 15 |
| ParticipantIDs | proquest_journals_1524242752 crossref_primary_10_1007_s10455_014_9412_6 crossref_citationtrail_10_1007_s10455_014_9412_6 springer_journals_10_1007_s10455_014_9412_6 |
| PublicationCentury | 2000 |
| PublicationDate | 2014-06-01 |
| PublicationDateYYYYMMDD | 2014-06-01 |
| PublicationDate_xml | – month: 06 year: 2014 text: 2014-06-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Dordrecht |
| PublicationPlace_xml | – name: Dordrecht |
| PublicationTitle | Annals of global analysis and geometry |
| PublicationTitleAbbrev | Ann Glob Anal Geom |
| PublicationYear | 2014 |
| Publisher | Springer Netherlands Springer Nature B.V |
| Publisher_xml | – name: Springer Netherlands – name: Springer Nature B.V |
| References | Doran, Headrick, Herzog, Kantor, Wiseman (CR13) 2008; 282 Derdzinski (CR10) 1983; 49 Matsushima (CR17) 1972; 46 CR4 CR3 CR19 CR7 Cao, Zhu (CR8) 2012; 353 CR16 CR15 Page (CR18) 1979; 79B Young (CR20) 1983; 28 Calabi (CR6) 1985 Chen, LeBrun, Weber (CR9) 2008; 21 Abreu, Freitas (CR2) 2002; 84 Hall, Haslhofer, Siepmann (CR14) 2014; 24 Donaldson (CR12) 2009; 5 Bunch, Donaldson (CR5) 2008; 7 Donaldson (CR11) 2008; 7 Abreu (CR1) 1998; 9 9412_CR16 9412_CR15 M Abreu (9412_CR2) 2002; 84 C Doran (9412_CR13) 2008; 282 HD Cao (9412_CR8) 2012; 353 SK Donaldson (9412_CR11) 2008; 7 S Hall (9412_CR14) 2014; 24 X Chen (9412_CR9) 2008; 21 RS Bunch (9412_CR5) 2008; 7 A Derdzinski (9412_CR10) 1983; 49 RE Young (9412_CR20) 1983; 28 9412_CR19 9412_CR3 9412_CR4 9412_CR7 E Calabi (9412_CR6) 1985 Y Matsushima (9412_CR17) 1972; 46 D Page (9412_CR18) 1979; 79B M Abreu (9412_CR1) 1998; 9 SK Donaldson (9412_CR12) 2009; 5 |
| References_xml | – year: 1985 ident: CR6 publication-title: Extremal Kähler metrics II, Differential Geometry and Complex Analysis – volume: 7 start-page: 29 issue: 1 year: 2008 end-page: 75 ident: CR11 article-title: Kähler geometry on toric manifolds and some other manifolds with large symmetry, handbook of geometric analysis publication-title: Adv. Lect. Math. – volume: 24 start-page: 472 issue: 1 year: 2014 end-page: 494 ident: CR14 article-title: The stability inequality for Ricci-flat cones publication-title: J. Geom. Anal. doi: 10.1007/s12220-012-9343-z – volume: 84 start-page: 213 issue: 1 year: 2002 end-page: 230 ident: CR2 article-title: On the invariant spectrum of -invariant metrics on publication-title: Proc. Lond. Math. Soc. doi: 10.1112/plms/84.1.213 – ident: CR19 – volume: 9 start-page: 641 issue: 6 year: 1998 end-page: 651 ident: CR1 article-title: Kähler geometry of toric varieties and extremal metrics publication-title: Int. J. Math. doi: 10.1142/S0129167X98000282 – ident: CR3 – ident: CR4 – ident: CR15 – ident: CR16 – volume: 46 start-page: 161 year: 1972 end-page: 173 ident: CR17 article-title: Remarks on Kähler–Einstein manifolds publication-title: Nagoya Math. J. – volume: 5 start-page: 571 issue: 2 year: 2009 end-page: 618 ident: CR12 article-title: Some numerical results in complex differential geometry publication-title: Pure Appl. Math. Q. doi: 10.4310/PAMQ.2009.v5.n2.a2 – volume: 49 start-page: 405 issue: 3 year: 1983 end-page: 433 ident: CR10 article-title: Self-dual Kähler manifolds and Einstein manifolds of dimension four publication-title: Compos. Math. – volume: 282 start-page: 357 issue: 2 year: 2008 end-page: 393 ident: CR13 article-title: Numerical Kähler–Einstein metric on the third del Pezzo publication-title: Commun. Math. Phys. doi: 10.1007/s00220-008-0558-6 – volume: 7 start-page: 1 issue: 1 year: 2008 end-page: 28 ident: CR5 article-title: Numerical approximations to extremal metrics on toric surfaces, Handbook of geometric analysis publication-title: Adv. Lect. Math. – ident: CR7 – volume: 79B start-page: 235 year: 1979 end-page: 238 ident: CR18 article-title: A compact rotating gravitational instanton publication-title: Phys. Lett. – volume: 21 start-page: 1137 issue: 4 year: 2008 end-page: 1168 ident: CR9 article-title: On conformally Kähler, Einstein manifolds publication-title: J. Am. Math. Soc. doi: 10.1090/S0894-0347-08-00594-8 – volume: 28 start-page: 2436 issue: 10 year: 1983 end-page: 2438 ident: CR20 article-title: Semiclassical instability of gravity with positive cosmological constant publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.28.2436 – volume: 353 start-page: 747 issue: 3 year: 2012 end-page: 763 ident: CR8 article-title: On second variation of Perelman’s shrinker entropy publication-title: Math. Ann. doi: 10.1007/s00208-011-0701-0 – ident: 9412_CR16 – volume: 5 start-page: 571 issue: 2 year: 2009 ident: 9412_CR12 publication-title: Pure Appl. Math. Q. doi: 10.4310/PAMQ.2009.v5.n2.a2 – volume: 282 start-page: 357 issue: 2 year: 2008 ident: 9412_CR13 publication-title: Commun. Math. Phys. doi: 10.1007/s00220-008-0558-6 – ident: 9412_CR19 – volume: 7 start-page: 1 issue: 1 year: 2008 ident: 9412_CR5 publication-title: Adv. Lect. Math. – volume: 353 start-page: 747 issue: 3 year: 2012 ident: 9412_CR8 publication-title: Math. Ann. doi: 10.1007/s00208-011-0701-0 – volume: 9 start-page: 641 issue: 6 year: 1998 ident: 9412_CR1 publication-title: Int. J. Math. doi: 10.1142/S0129167X98000282 – volume-title: Extremal Kähler metrics II, Differential Geometry and Complex Analysis year: 1985 ident: 9412_CR6 – volume: 7 start-page: 29 issue: 1 year: 2008 ident: 9412_CR11 publication-title: Adv. Lect. Math. – volume: 79B start-page: 235 year: 1979 ident: 9412_CR18 publication-title: Phys. Lett. – volume: 46 start-page: 161 year: 1972 ident: 9412_CR17 publication-title: Nagoya Math. J. doi: 10.1017/S0027763000014847 – volume: 84 start-page: 213 issue: 1 year: 2002 ident: 9412_CR2 publication-title: Proc. Lond. Math. Soc. doi: 10.1112/plms/84.1.213 – volume: 21 start-page: 1137 issue: 4 year: 2008 ident: 9412_CR9 publication-title: J. Am. Math. Soc. doi: 10.1090/S0894-0347-08-00594-8 – volume: 24 start-page: 472 issue: 1 year: 2014 ident: 9412_CR14 publication-title: J. Geom. Anal. doi: 10.1007/s12220-012-9343-z – ident: 9412_CR3 – volume: 28 start-page: 2436 issue: 10 year: 1983 ident: 9412_CR20 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.28.2436 – ident: 9412_CR15 doi: 10.1201/9781003072393-11 – ident: 9412_CR4 doi: 10.1088/1126-6708/2008/07/120 – ident: 9412_CR7 – volume: 49 start-page: 405 issue: 3 year: 1983 ident: 9412_CR10 publication-title: Compos. Math. |
| SSID | ssj0005311 |
| Score | 1.9939396 |
| Snippet | We give bounds on the first non-zero eigenvalue of the scalar Laplacian for both the Page and the Chen–LeBrun–Weber Einstein metrics. One notable feature is... We give bounds on the first non-zero eigenvalue of the scalar Laplacian for both the Page and the Chen-LeBrun-Weber Einstein metrics. One notable feature is... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 87 |
| SubjectTerms | Analysis Approximation Differential Geometry Eigenvalues Explicit knowledge Geometry Global Analysis and Analysis on Manifolds Laplace transforms Mathematical models Mathematical Physics Mathematics Mathematics and Statistics Studies Theorems |
| SummonAdditionalLinks | – databaseName: SpringerLINK Contemporary 1997-Present dbid: RSV link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT8MwDLZgcIADb8RgoB44gSKtbdo0x2li4sBj4rlbleYhkFiH1sGZ_8A_5JfgZO0GCJBAvdRqGlW2Y3-uExtgP-I6TnwhSCaTiNBAcbSDUhKlEYxncYQqRl2zCXZ2lvR6vFue4y6q3e5VStJZ6g-H3WhkN5pRwqkfkHgW5tDbJbZfw8XlzXRfR-ia7qIvQujYpL0qlfndFJ-d0RRhfkmKOl_TWf7XV67AUgktvdZYF1ZhRudrsHg6qctarEPrPPeQ9Nz5yuFT3xsYR3fRqngiV45o3-n87eX1RNuqBHhzixIYen3beksWG3DdObpqH5OyiQKRoR-PiA61LbhjMmN8lvDE19xgAG0Y14gOmGImSWJpowxGM9_gmhGCR6GiIqNcKRFuQi0f5HoLPMZCDOaERNkizssCbpTWGNCFUVNkIlB1aFbcTGVZYdw2unhIp7WRLXdS5E5quZPGdTiYvPI4Lq_x2-BGJaK0XGlFiviD4sWioA6HlUg-PP5psu0_jd6BhcDK1P1-aUANRaR3YV4-j-6L4Z5TwHcEn9Qg priority: 102 providerName: Springer Nature |
| Title | On the spectrum of the Page and the Chen–LeBrun–Weber metrics |
| URI | https://link.springer.com/article/10.1007/s10455-014-9412-6 https://www.proquest.com/docview/1524242752 |
| Volume | 46 |
| WOSCitedRecordID | wos000335959100006&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVPQU databaseName: ABI/INFORM Collection customDbUrl: eissn: 1572-9060 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0005311 issn: 0232-704X databaseCode: 7WY dateStart: 19990201 isFulltext: true titleUrlDefault: https://www.proquest.com/abicomplete providerName: ProQuest – providerCode: PRVPQU databaseName: ABI/INFORM Global (OCUL) customDbUrl: eissn: 1572-9060 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0005311 issn: 0232-704X databaseCode: M0C dateStart: 19990201 isFulltext: true titleUrlDefault: https://search.proquest.com/abiglobal providerName: ProQuest – providerCode: PRVPQU databaseName: Computer Science Database customDbUrl: eissn: 1572-9060 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0005311 issn: 0232-704X databaseCode: K7- dateStart: 19990201 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 1572-9060 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0005311 issn: 0232-704X databaseCode: M7S dateStart: 19990201 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest advanced technologies & aerospace journals customDbUrl: eissn: 1572-9060 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0005311 issn: 0232-704X databaseCode: P5Z dateStart: 19990201 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1572-9060 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0005311 issn: 0232-704X databaseCode: BENPR dateStart: 19990201 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Research Library customDbUrl: eissn: 1572-9060 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0005311 issn: 0232-704X databaseCode: M2O dateStart: 19990201 isFulltext: true titleUrlDefault: https://search.proquest.com/pqrl providerName: ProQuest – providerCode: PRVPQU databaseName: Science Database customDbUrl: eissn: 1572-9060 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0005311 issn: 0232-704X databaseCode: M2P dateStart: 19990201 isFulltext: true titleUrlDefault: https://search.proquest.com/sciencejournals providerName: ProQuest – providerCode: PRVAVX databaseName: SpringerLink Contemporary customDbUrl: eissn: 1572-9060 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0005311 issn: 0232-704X databaseCode: RSV dateStart: 19970101 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8QwEB58HfTgW1xf9OBJCW7btGkOIroogu5afK5eSpoHCtrVrfr7nWRbVwW9SGFgaBtCJpn5JpnMAGxGXMeJLwTJZRIRGiiOelBKojSC8TyOcIpRV2yCdTpJt8vTasOtrMIqa53oFLXqSbtHvoN2huLDomDv-YXYqlH2dLUqoTEK44hsfBvS1Q7SYYhH6OrvollCFNmk3fpUc3B1jkY2bI0STv2AxN_t0hBs_jgfdWbnaOa_HZ6F6QpwevuDGTIHI7qYh6n2Z7bWcgF2zwoPWc_duuy_PXk94_gUdY0nCuWY1r0uyKm2mQrIDcqk7z3ZYlyyXISro8PL1jGpyioQGfrxK9Ghtil4TG6MzxKe-JobdKkN4xrxAlPMJEksrd_BaO4bXEVC8ChUVOSUKyXCJRgreoVeBo-xEN07IVHaiPzygBulNbp4YdQUuQhUA5r1oGayyjluS188ZsNsyVYOGcohs3LI4gZsff7yPEi48dfHa_XYZ9XaK7PhwDdgu5bel9e_Nbbyd2OrMBnY6eJ2YNZgDOWh12FCvr8-lP0NGGU3txswfnDYSc-RO2EEabvZsjQ4czS1lF0gTaM7pOcX1x8coONj |
| linkProvider | ProQuest |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3LTttAFL2CFAm6oDzVtAG8gA1oRDweezwLhFAAgQghCxDZmfE81EqNk8a0VX-q39g7k5gAEuxYIK9GtkeWz_F9eO6cC7AdC5OkoZQkV2lMGNUC7aBSRBsMxvMkRoox32yCdzpprye6M_Cv2gvjyiorm-gNtR4o9498H_0Mw4PH9HD4k7iuUW51tWqhMabFhfn7B1O28uD8GPHdofT05Lp1RiZdBYiKwuSemMg4BRqbWxvyVKShERYzSsuFQXfJNbdpmigXdnOWhxZJJKWII81kzoTWMsJ5Z-EDc8pirlSQdqclJZHv94tuEKPWJutVq6jjrXosdmVyjAgWUpI89YPT4PbZeqx3c6ef3tsLWoLFSUAdHI2_gGWYMcUKfLx8UKMtV-HgqghwGPhdpaNf_WBg_biLtjSQhfaD1jdTkLZxSgzkFjk3Cvqu2Zgq1-DmTZ5_HWrFoDCfIeA8wvRVKmQzRrY5FVYbgylsFDdlLqmuQ7MCMVMTTXXX2uNHNlWDdrhniHvmcM-SOuw-3DIcC4q8dnGjwjqb2JYymwJdh72KLY9OvzTZl9cn24L5s-vLdtY-71x8hQXqqOr_NjWghtiYDZhTv--_l6NNT_oA7t6aRP8BSZQ4pg |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9NAEB6FFKH20AelIpBSH8qFatXYXnu9h6qqEiKipCEHUKNezHofaiXqpHEB8df4dcxu7ASQyC2HyqeV7ZW183keO7PzARxHXMeJLwTJZBIRGiiOelBKojQ641kcIcSoI5tgw2EyHvNRDX5VZ2FsWWWlE52iVhNp98hP0c5QvFgUnJqyLGLU6Z5P74llkLKZ1opOYw6Rvv75A8O34qzXQVm_DYLu-0_tD6RkGCAy9OMHokNtu9GYzBifJTzxNTcYXRrGNZpOpphJklhaF5zRzDcIKCF4FCoqMsqVEiHO-wQ2GMaYtpxwFF0vy0tCx_2LJhE92BYdVxnV-bE9GtmSOUo49QMS_20Tl47uP7lZZ_K6O495sXZhu3S0vYv5n7EHNZ0_h63LRZfaYh_OPuYeDj132nT27c6bGDceoY71RK7coH2jczLQtkMDuUIszrw7S0ImixfweS3ffwD1fJLrl-AxFmJYKySiHD3eLOBGaY2hbRi1RCYC1YBWJdBUlr3WLeXH13TZJdpiIEUMpBYDadyAd4tXpvNGI6seblZyT0udU6RLoTfgpELOH7f_N9mr1ZMdwTPETjroDfuvYTOwqHWbUE2oo2j0ITyV3x9ui9kbh38PvqwbQ78BkmRBkg |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=On+the+spectrum+of+the+Page+and+the+Chen-LeBrun-Weber+metrics&rft.jtitle=Annals+of+global+analysis+and+geometry&rft.au=Hall%2C+Stuart+J&rft.au=Murphy%2C+Thomas&rft.date=2014-06-01&rft.pub=Springer+Nature+B.V&rft.issn=0232-704X&rft.eissn=1572-9060&rft.volume=46&rft.issue=1&rft.spage=87&rft_id=info:doi/10.1007%2Fs10455-014-9412-6&rft.externalDBID=HAS_PDF_LINK&rft.externalDocID=3302678941 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0232-704X&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0232-704X&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0232-704X&client=summon |