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Lipschitz convergence of manifolds of positive Ricci curvature with large volume

✍ Scribed by Takao Yamaguchi

Publisher
Springer
Year
1989
Tongue
English
Weight
609 KB
Volume
284
Category
Article
ISSN
0025-5831

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Lower bounds for the first eigenvalue of
Lower bounds for the first eigenvalue of the -Laplacian on compact manifolds with positive Ricci curvature
✍ HuiChun Zhang πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 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