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...

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Bibliographic Details
Published in:	Annals of global analysis and geometry Vol. 46; no. 1; pp. 87 - 101
Main Authors:	Hall, Stuart J., Murphy, Thomas
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.06.2014 Springer Nature B.V
Subjects:	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 Toric-Kähler metric Ricci flow Einstein metric Linear stability Spectrum of Laplacian
ISSN:	0232-704X, 1572-9060
Online Access:	Get full text
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