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.

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