AN ESTIMATE ON THE RICCI CURVATURE OF A SUBMANIFOLD AND SOME APPLICATIONS

Authors
LEUNG PF
Citation
Pf. Leung, AN ESTIMATE ON THE RICCI CURVATURE OF A SUBMANIFOLD AND SOME APPLICATIONS, Proceedings of the American Mathematical Society, 114(4), 1992, pp. 1051-1061
Citations number
6
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
114
Issue
4
Year of publication
1992
Pages
1051 - 1061
Database
ISI
SICI code
0002-9939(1992)114:4<1051:AEOTRC>2.0.ZU;2-I
Abstract
We prove a best possible lower bound on the Ricci curvature of an imme rsed submanifold in a Euclidean space and apply it to study the size o f the Gauss image of a complete noncompact hypersurface with constant positive mean curvature in a Euclidean space.