REMARKS ON HYPERSURFACES WITH CONSTANT MEAN CURVATUREIN A HIGHER DIMENSIONAL PSEUDO-SPHERE
Citation:
Shen Yibing.REMARKS ON HYPERSURFACES WITH CONSTANT MEAN CURVATUREIN A HIGHER DIMENSIONAL PSEUDO-SPHERE[J].Chinese Annals of Mathematics B,1987,8(4):483~487
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Authors:
Shen Yibing;
Foundation:
Projects Supported by the Science Fund of the Chinese Academy of Sciences.
Abstract:
A necessary condition to be satisfied by the metric of an n-manifold minimally immersed in an (n+1)-pseudo-sphere is obtained, and a sufficient condition for a complete hypersurface in a pseudo-sphere with constant mean curvature to be totally umbilical is given.