Suchergebnisse - Spin and Spin\({}^c\) geometry

Generalized positive scalar curvature on spin$$^c$$ manifolds

Autoren: Botvinnik, Boris Rosenberg, Jonathan

Quelle: Annals of Global Analysis and Geometry. 66

Schlagwörter: Mathematics - Differential Geometry, Differential Geometry (math.DG), 53C21 (Primary) 53C27, 58J22, 55N22, 19L41 (Secondary), FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology

Zugangs-URL: http://arxiv.org/abs/2404.00703

Spin-harmonic structures and nilmanifolds

Autoren: Bazzoni, Giovanni Martín-Merchán, Lucía Muñoz, Vicente et al.

Weitere Verfasser: Bazzoni, Giovanni Martín-Merchán, Lucía Muñoz, Vicente et al.

Quelle: E-Prints Complutense. Archivo Institucional de la UCM
instname
Docta Complutense

Schlagwörter: Issues of holonomy in differential geometry, Mathematics - Differential Geometry, Topología, spin geometry, Spin(7) structures, Dirac operator, Nilmanifolds, Spin and Spin\({}^c\) geometry, 515.163, 1210 Topología, 01 natural sciences, harmonic spinors, Differential Geometry (math.DG), Spinors, FOS: Mathematics, 57N16, 15A66, 53C27, 22E25, differential geometry, G-structures, 0101 mathematics, \(G\)-structures, Geometric structures

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: http://arxiv.org/abs/1904.01462
https://eprints.ucm.es/id/eprint/72993/1/bazzoni_spin.pdf
https://hdl.handle.net/20.500.14352/71669
https://zbmath.org/7956682
https://doi.org/10.4310/cag.240905215149

Lower Bounds for the Eigenvalues of the Dirac Operator on Spin$${}^c$$ Manifolds

Autoren: Serhan Eker Belirlenecek

Weitere Verfasser: Serhan Eker Belirlenecek

Quelle: Iranian Journal of Science and Technology, Transactions A: Science. 44:251-257

Schlagwörter: Spin and Spin(c) geometry, Dirac operator, 0103 physical sciences, Estimation of eigenvalues, 0101 mathematics, 01 natural sciences, 1st Eigenvalue

Zugangs-URL: https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=202002220855381694
https://link.springer.com/article/10.1007/s40995-020-00823-5
https://hdl.handle.net/20.500.12501/2754

Spinc Geometry, the Seiberg-Witten Equations and Yamabe Invariants of Kaehler Surfaces: Spin\(^c\) geometry, the Seiberg-Witten equations and Yamabe invariants of Kähler surfaces

Autoren: Kazuo Akutagawa

Quelle: Interdisciplinary Information Sciences. 5:55-72

Schlagwörter: conformal Riemannian geometry, Applications of global analysis to structures on manifolds, Yamabe invariants, 0103 physical sciences, Spin and Spin\({}^c\) geometry, Global differential geometry of Hermitian and Kählerian manifolds, Methods of global Riemannian geometry, including PDE methods, curvature restrictions, Research exposition (monographs, survey articles) pertaining to differential geometry, Seiberg-Witten equations, 16. Peace & justice, 01 natural sciences, Topology of the Euclidean \(4\)-space, \(4\)-manifolds, Kähler surfaces

Dateibeschreibung: application/xml

Zugangs-URL: https://www.jstage.jst.go.jp/article/iis/5/1/5_1_55/_pdf
https://zbmath.org/1343245
https://doi.org/10.4036/iis.1999.55
https://ci.nii.ac.jp/naid/110000071697

Limiting Case of the Spin Hypersurface Dirac Operator arising in the positive mass theorem for black holes

Autoren: Eker, Serhan Belirlenecek

Weitere Verfasser: Eker, Serhan Belirlenecek

Quelle: Applied Mathematics and Nonlinear Sciences. 6:459-466

Schlagwörter: Lower Bounds, Spin and Spin(c) geometry, Dirac operator, Estimation of eigenvalues, 0101 mathematics, 01 natural sciences, 1st Eigenvalue

Zugangs-URL: https://www.sciendo.com/pdf/10.2478/amns.2020.2.00070
https://www.sciendo.com/pdf/10.2478/amns.2020.2.00070
https://www.sciendo.com/article/10.2478/amns.2020.2.00070
https://content.sciendo.com/view/journals/amns/ahead-of-print/article-10.2478-amns.2020.2.00070/article-10.2478-amns.2020.2.00070.xml
https://hdl.handle.net/20.500.12501/3081

Lower Bound Eigenvalue Problems of the Compact Riemannian Spin-Submanifold Dirac Operator

Autoren: Serhan EKER Belirlenecek

Weitere Verfasser: Serhan EKER Belirlenecek

Quelle: Volume: 13, Issue: ÖZEL SAYI I 56-62
Erzincan University Journal of Science and Technology
Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi

Schlagwörter: Spin and 〖Spin〗^c geometry, Dirac operator, Engineering, Mühendislik, Estimation of eigenvalues, 16. Peace & justice, 01 natural sciences, 0104 chemical sciences

Dateibeschreibung: application/pdf

Zugangs-URL: https://dergipark.org.tr/en/download/article-file/986556
https://dergipark.org.tr/tr/pub/erzifbed/issue/52745/605220
https://dergipark.org.tr/tr/download/article-file/986556
https://hdl.handle.net/20.500.12501/3280
https://dergipark.org.tr/tr/pub/erzifbed/issue/52745/605220

Immersions of Surfaces in Spinc-Manifolds with a Generic Positive Spinor: Immersions of surfaces in spin\(^c\)-manifolds with a generic positive spinor

Autoren: Andrzej Derdzinski Tadeusz Januszkiewicz

Quelle: Annals of Global Analysis and Geometry. 26:175-199

Schlagwörter: \(\text{spin}^c\)-structure, Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), pseudoholomorphic curve, totally real immersion, General geometric structures on manifolds (almost complex, almost product structures, etc.), Spin and Spin\({}^c\) geometry, 0101 mathematics, pseudoholomorphic immersion, almost symplectic structure, spin structure, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/B:AGAG.0000031163.94882.de

COMMUTATIVE GEOMETRIES ARE SPIN MANIFOLDS: Commutative geometries are spin manifolds

Autoren: Rennie, Adam Charles

Quelle: Reviews in Mathematical Physics. 13:409-464

Schlagwörter: Mathematics - Differential Geometry, Hochschild homology, spin geometry, Spin and Spin\({}^c\) geometry, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, spectral triples, Functional Analysis (math.FA), Mathematics - Functional Analysis, Differential Geometry (math.DG), \(C^*\)-algebras, FOS: Mathematics, noncommutative geometry, 0101 mathematics, Noncommutative global analysis, noncommutative residues, Mathematical Physics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/math-ph/9903021
http://arxiv.org/abs/math-ph/9903021
https://zbmath.org/1961906
https://doi.org/10.1142/s0129055x01000673
https://www.sid.ir/En/Journal/ViewPaper.aspx?ID=394082
https://ui.adsabs.harvard.edu/abs/2001RvMaP..13..409R/abstract
https://digital.library.adelaide.edu.au/dspace/handle/2440/3755
https://www.worldscientific.com/doi/10.1142/S0129055X01000673
https://people.math.gatech.edu/~jeanbel/8843/Articles/rennie01.pdf

Spinc Structures and Scalar Curvature Estimates: Spin\(^c\) structures and scalar curvature estimates

Autoren: S Goette Uwe Semmelmann

Quelle: Annals of Global Analysis and Geometry. 20:301-324

Schlagwörter: Mathematics - Differential Geometry, Dirac operator, algebraic varieties, Spin and Spin\({}^c\) geometry, Rigidity results, Global differential geometry of Hermitian and Kählerian manifolds, Methods of global Riemannian geometry, including PDE methods, curvature restrictions, extremal metrics, Kähler manifolds, scalar curvature rigidity, 01 natural sciences, index theory, Differential Geometry (math.DG), FOS: Mathematics, Index theory and related fixed-point theorems on manifolds, 0101 mathematics, 53C21 (Primary) 58G10, 53C55 (Secondary)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/math/9905089
https://zbmath.org/1727293
https://doi.org/10.1023/a:1013035721335
http://ui.adsabs.harvard.edu/abs/1999math......5089G/abstract
https://arxiv.org/pdf/math/9905089v2
https://arxiv.org/abs/math/9905089
https://link.springer.com/article/10.1023/A:1013035721335

$Spin^c$ manifolds and rigidity theorems in $K$-theory: \(\text{Spin}^C\) manifolds and rigidity theorems in \(K\)-theory

Autoren: Xiaonan Ma Kefeng Liu Weiping Zhang

Quelle: Asian Journal of Mathematics. 4:933-960

Schlagwörter: Equivariant \(K\)-theory, Compact Lie groups of differentiable transformations, families index, equivariant K-theory, Characteristic classes and numbers in differential topology, Elliptic cohomology, elliptic genera, Elliptic genera, Spin and Spin\({}^c\) geometry, Exotic index theories on manifolds, 0101 mathematics, 01 natural sciences, Witten rigidity theorem

Dateibeschreibung: application/xml

Zugangs-URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/ajm/2000/0004/0004/AJM-2000-0004-0004-a012.pdf
https://zbmath.org/1663647
https://doi.org/10.4310/ajm.2000.v4.n4.a12
https://www.intlpress.com/site/pub/files/_fulltext/journals/ajm/2000/0004/0004/AJM-2000-0004-0004-a012.pdf
https://intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0004/0004/a012/index.html

Spin c Manifolds and Complex Contact Structures: \(\text{Spin}^c\) manifolds and complex contact structures

Autoren: Moroianu, Andrei Centre de Mathématiques Laurent Schwartz (CMLS) École polytechnique (X) et al.

Weitere Verfasser: Moroianu, Andrei Centre de Mathématiques Laurent Schwartz (CMLS) École polytechnique (X) et al.

Quelle: Communications in Mathematical Physics. 193:661-673

Schlagwörter: quaternionic Kähler manifold, Spin\(^c\) manifold, Spectral problems, spectral geometry, scattering theory on manifolds, Spin and Spin\({}^c\) geometry, Global differential geometry of Hermitian and Kählerian manifolds, complex contact structure, projectable spinor, twistor space, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.), 01 natural sciences, Special Riemannian manifolds (Einstein, Sasakian, etc.), [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], General geometric structures on manifolds (almost complex, almost product structures, etc.), 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://hal.archives-ouvertes.fr/hal-00125990/file/1998cmp.pdf
https://zbmath.org/1213889
https://doi.org/10.1007/s002200050343
https://link.springer.com/article/10.1007/s002200050343
https://hal.archives-ouvertes.fr/hal-00125990
http://ui.adsabs.harvard.edu/abs/1998CMaPh.193..661M/abstract
https://hal.archives-ouvertes.fr/hal-00125990/document
https://link.springer.com/content/pdf/10.1007/s002200050343.pdf

Parallel and Killing Spinors on Spin c Manifolds: Parallel and Killing spinors on \(\text{Spin}^ c\) manifolds

Autoren: Moroianu, Andrei Centre de Mathématiques Laurent Schwartz (CMLS) École polytechnique (X) et al.

Weitere Verfasser: Moroianu, Andrei Centre de Mathématiques Laurent Schwartz (CMLS) École polytechnique (X) et al.

Quelle: Communications in Mathematical Physics. 187:417-427

Schlagwörter: Sasakian manifolds, Special Riemannian manifolds (Einstein, Sasakian, etc.), parallel spinor, [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], Spin and Spin\({}^c\) geometry, 0101 mathematics, \(\text{Spin}^ c\) structure, 16. Peace & justice, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.), Killing spinor, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://hal.archives-ouvertes.fr/hal-00125985/file/1997cmp.pdf
https://zbmath.org/1062408
https://doi.org/10.1007/s002200050142
http://ui.adsabs.harvard.edu/abs/1997CMaPh.187..417M/abstract
https://hal.archives-ouvertes.fr/hal-00125985
https://rd.springer.com/article/10.1007/s002200050142
https://moroianu.perso.math.cnrs.fr/tex/1997cmp.pdf
https://hal.archives-ouvertes.fr/hal-00125985/document
https://link.springer.com/article/10.1007%2Fs002200050142

IMPROVED FORMS OF SOME VANISHING THEOREMS IN RIEMANNIAN SPIN GEOMETRY: Improved forms of some vanishing theorems in Riemannian spin geometry.

Autoren: Thomas Branson Oussama Hijazi

Quelle: International Journal of Mathematics. 11:291-304

Schlagwörter: Spectral problems, spectral geometry, scattering theory on manifolds, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), Spin and Spin\({}^c\) geometry, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1629345
https://doi.org/10.1142/s0129167x00000165
https://www.worldscientific.com/doi/abs/10.1142/S0129167X00000165

Symplectic reduction and a weighted multiplicity formula for twisted $\mathrm{Spin}^c$-Dirac operators: Symplectic reduction and a weighted multiplicity formula for twisted \(\text{Spin}^c\)-Dirac operators

Autoren: Weiping Zhang Youliang Tian

Quelle: Asian Journal of Mathematics. 2:591-608

Schlagwörter: Geometric quantization, symplectic manifold, weighted multiplicity formula, twisted Spin\(^c\) Dirac operator, 0103 physical sciences, Spin and Spin\({}^c\) geometry, symplectic reduction, 0101 mathematics, Geometry and quantization, symplectic methods, 01 natural sciences, \(G\)-equivariant Hermitian vector bundle

Dateibeschreibung: application/xml

Zugangs-URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/ajm/1998/0002/0003/AJM-1998-0002-0003-a005.pdf
https://zbmath.org/1327160
https://doi.org/10.4310/ajm.1998.v2.n3.a5
https://www.intlpress.com/site/pub/files/_fulltext/journals/ajm/1998/0002/0003/AJM-1998-0002-0003-a005.pdf
https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0002/0003/a005/
http://ui.adsabs.harvard.edu/abs/1998math......2105T/abstract

Connections with torsion, parallel spinors and geometry of Spin(7) manifolds

Autoren: Stefan Ivanov

Quelle: Mathematical Research Letters. 11:171-186

Schlagwörter: Issues of holonomy in differential geometry, Mathematics - Differential Geometry, High Energy Physics - Theory, Killing spinor equations, Dirac operator, Spin and Spin\({}^c\) geometry, torsion, FOS: Physical sciences, Global differential geometry of Hermitian and Kählerian manifolds, String and superstring theories, other extended objects (e.g., branes) in quantum field theory, 01 natural sciences, 53C25, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), High Energy Physics - Theory (hep-th), FOS: Mathematics, structure, parallel spinors, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2004/0011/0002/MRL-2004-0011-0002-a003.pdf
http://arxiv.org/abs/math/0111216
https://zbmath.org/2123920
https://doi.org/10.4310/mrl.2004.v11.n2.a3
https://arxiv.org/pdf/math/0111216
https://dialnet.unirioja.es/servlet/articulo?codigo=944744
https://www.arxiv-vanity.com/papers/math/0111216/
https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0011/0002/a003/
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2004/0011/0002/MRL-2004-0011-0002-a003.pdf

Generalized Killing Spinors and Conformal Eigenvalue Estimates for Spinc Manifolds: Generalized Killing spinors and conformal eigenvalue estimates for \(\text{Spin}^c\) manifolds

Autoren: Herzlich, Marc Moroianu, Andrei Institut de Mathématiques et de Modélisation de Montpellier (I3M) et al.

Weitere Verfasser: Herzlich, Marc Moroianu, Andrei Institut de Mathématiques et de Modélisation de Montpellier (I3M) et al.

Quelle: Annals of Global Analysis and Geometry. 17:341-370

Schlagwörter: Killing spinors, [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], Dirac operator, Spectral problems, spectral geometry, scattering theory on manifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), Spin and Spin\({}^c\) geometry, Methods of global Riemannian geometry, including PDE methods, curvature restrictions, 0101 mathematics, \(\text{spin}^c\)-manifolds, 16. Peace & justice, 01 natural sciences, conformal eigenvalue estimates

Dateibeschreibung: application/xml

Zugangs-URL: https://hal.archives-ouvertes.fr/hal-00125994/file/1999agag.pdf
https://link.springer.com/article/10.1023/A:1006546915261
https://hal.archives-ouvertes.fr/hal-00125994/document
https://hal.archives-ouvertes.fr/hal-00125994

Spin geometry on quantum groups via covariant differential calculi

Autoren: István Heckenberger

Quelle: Advances in Mathematics. 175:197-242

Schlagwörter: Mathematics(all), quantum groups, spin geometry, Spin geometry, Covariant differential calculus, Spin and Spin\({}^c\) geometry, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups, 01 natural sciences, Hopf algebras (associative rings and algebras), covariant differential calculus, Clifford algebras, spinors, Mathematics - Quantum Algebra, FOS: Mathematics, 81R50, 46L87, 53C27, Quantum Algebra (math.QA), Noncommutative differential geometry, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/math/0006226
https://zbmath.org/1915636
https://doi.org/10.1016/s0001-8708(02)00044-0
http://ui.adsabs.harvard.edu/abs/2000math......6226H/abstract
https://www.arxiv-vanity.com/papers/math/0006226/
https://www.sciencedirect.com/science/article/pii/S0001870802000440

Invariant spinors on flag manifolds

Autoren: Diego Artacho Uwe Semmelmann

Quelle: International Journal of Mathematics. 36

Schlagwörter: Clifford algebras, spinors, flag manifolds, 53C27, 15A66, spin geometry, homogeneous spaces, Representation Theory, Differential Geometry (math.DG), special spinors, FOS: Mathematics, Spin and Spin\({}^c\) geometry, Representation Theory (math.RT), Differential Geometry

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2407.08493
https://zbmath.org/8037110
https://doi.org/10.1142/s0129167x25500120

Generalized cylinders in semi-Riemannian and spin geometry

Autoren: Bär, Christian Gauduchon, Paul Moroianu, Andrei et al.

Weitere Verfasser: Bär, Christian Gauduchon, Paul Moroianu, Andrei et al.

Quelle: Mathematische Zeitschrift. 249:545-580

Schlagwörter: Mathematics - Differential Geometry, energy-momentum tensor of a spinor, Local differential geometry of Lorentz metrics, indefinite metrics, generalized Killing spinors, Dirac operator, Spin and Spin\({}^c\) geometry, FOS: Physical sciences, 01 natural sciences, fundamental theorem of hypersurface theory, variation formula for Dirac operator, identification of spinors, 0103 physical sciences, FOS: Mathematics, hypersurface theory, Codazzi tensors, 0101 mathematics, generalized cylinder, Mathematical Physics, space of Lorentzian metrics, Institut für Mathematik, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, Mathematical Physics (math-ph), 53C27,53A07,53B30, Differential Geometry (math.DG), [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], 53C27, 53A07, 53B30

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/math/0303095
http://arxiv.org/abs/math/0303095
https://arxiv.org/pdf/math/0303095v1
https://arxiv.org/abs/math/0303095
https://ui.adsabs.harvard.edu/abs/2003math......3095B/abstract
https://publishup.uni-potsdam.de/opus4-ubp/frontdoor/index/index/docId/12734
https://dialnet.unirioja.es/servlet/articulo?codigo=2807394
https://link.springer.com/article/10.1007/s00209-004-0718-0
https://link.springer.com/content/pdf/10.1007%2Fs00209-004-0718-0.pdf
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124447
https://documat.unirioja.es/servlet/articulo?codigo=2807394
https://publishup.uni-potsdam.de/frontdoor/index/index/docId/12734

Vanishing Theorems and Eigenvalue Estimates in Riemannian Spin Geometry: Vanishing theorems and eigenvalue estimates in Riemannian spin geometry

Autoren: Thomas Branson Oussama Hijazi

Quelle: International Journal of Mathematics. :921-934

Schlagwörter: Invariance and symmetry properties for PDEs on manifolds, spinor bundle, representation theory of the spin group, Riemannian spin geometry, eigenvalue estimates, Dirac operator, Spectral problems, spectral geometry, scattering theory on manifolds, Spin and Spin\({}^c\) geometry, conformally covariant differential operator, Spectral theory, eigenvalue problems on manifolds, 0101 mathematics, vanishing theorems, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1112689
https://doi.org/10.1142/s0129167x97000433
https://www.worldscientific.com/doi/abs/10.1142/S0129167X97000433