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Concentration, Ricci Curvature, and Eigenvalues of Laplacian

โœ Scribed by Kei Funano, Takashi Shioya


Book ID
120793466
Publisher
Springer
Year
2013
Tongue
English
Weight
510 KB
Volume
23
Category
Article
ISSN
1016-443X

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๐Ÿ“œ SIMILAR VOLUMES


Lower bounds for the first eigenvalue of
โœ HuiChun Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 203 KB

We give some lower bounds for the first eigenvalue of the p-Laplace operator on compact Riemannian manifolds with positive (or non-negative) Ricci curvature in terms of diameter of the manifolds. For compact manifolds with boundary, we consider the Dirichlet eigenvalue with some proper geometric hyp