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A Note on Lower Bounds Estimates for the Neumann Eigenvalues of Manifolds with Positive Ricci Curvature

✍ Scribed by Fabrice Baudoin, Alice Vatamanelu


Book ID
113078279
Publisher
Springer Netherlands
Year
2011
Tongue
English
Weight
309 KB
Volume
37
Category
Article
ISSN
0926-2601

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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