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Lower bound of coarse Ricci curvature on metric measure spaces and eigenvalues of Laplacian

✍ Scribed by Kitabeppu, Yu


Book ID
125360469
Publisher
Springer
Year
2013
Tongue
English
Weight
204 KB
Volume
169
Category
Article
ISSN
0046-5755

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Lower bounds for the first eigenvalue of
✍ 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