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

Pui Fai Leung

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Source: Crossref

Published: Apr 1, 1992

DOI: 10.1090/s0002-9939-1992-1093601-7

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Source 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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