Eigenvalues Estimates on Complete Noncompact Riemannian Manifolds and Applications

Manfredo P. do Carmo () and Detang Zhou
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Manfredo P. do Carmo: IMPA
Detang Zhou: IMPA

A chapter in Manfredo P. do Carmo – Selected Papers, 2012, pp 395-405 from Springer

Abstract: Abstract We obtain some sharp estimates on the first eigenvalues of complete noncom pact 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.

Keywords: Riemannian manifold; eigenvalue; hypersurface; mean curvature. (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-25588-5_28

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DOI: 10.1007/978-3-642-25588-5_28

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