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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Neumann eigenvalue estimate on a compact Riemannian manifold


Author: Roger Chen
Journal: Proc. Amer. Math. Soc. 108 (1990), 961-970
MSC: Primary 58G25; Secondary 35P15
MathSciNet review: 993745
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Abstract: In their article, P. Li and S. T. Yau give a lower bound of the first Neumann eigenvalue in terms of geometrical invariants for a compact Riemannian manifold with convex boundary. The purpose of this paper is to generalize their result to a compact Riemannian manifold with possibly nonconvex boundary.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1990-0993745-X
PII: S 0002-9939(1990)0993745-X
Article copyright: © Copyright 1990 American Mathematical Society