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Submanifolds for which a lower bound of the Ricci curvature is achieved

✍ Scribed by Stefka Hineva


Publisher
Springer
Year
2008
Tongue
English
Weight
145 KB
Volume
88
Category
Article
ISSN
0047-2468

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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