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Lower bounds of the eigenvalues of compact manifolds with positive Ricci curvature

โœ Scribed by Jun Ling


Publisher
Springer
Year
2006
Tongue
English
Weight
338 KB
Volume
31
Category
Article
ISSN
0232-704X

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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