An estimate on the Ricci curvature of a submanifold and some applications

Leung, Pui Fai

doi:10.1090/S0002-9939-1992-1093601-7

An estimate on the Ricci curvature of a submanifold and some applications
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Proc. Amer. Math. Soc. 114 (1992), 1051-1061 Request permission

Abstract:

We prove a best possible lower bound on the Ricci curvature of an immersed submanifold in a Euclidean space and apply it to study the size of the Gauss image of a complete noncompact hypersurface with constant positive mean curvature in a Euclidean space.

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