Eigenvalue estimate on complete noncompact Riemannian manifolds and applications-Reference-Cited by-同舟云学术

Eigenvalue estimate on complete noncompact Riemannian manifolds and applications

Published:1999 Issue:4 Volume:351 Page:1391-1401
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

do Carmo Manfredo,Zhou Detang

Abstract

We obtain some sharp estimates on the first eigenvalues of complete noncompact Riemannian manifolds under assumptions of volume growth. Using these estimates we study hypersurfaces with constant mean curvature and give some estimates on the mean curvatures.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1999-351-04/S0002-9947-99-02061-9/S0002-9947-99-02061-9.pdf

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