Complete Submanifolds in E^n+p with Parallel Mean Curvature

Citation:

Shen Yibing.Complete Submanifolds in E^n+p with Parallel Mean Curvature[J].Chinese Annals of Mathematics B,1985,6(3):345~350
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Authors:

Shen Yibing;
Abstract: This paper gives a pinching condition by which complete submanifolds in a Euclidean space can be classified completely. In particular, a characterization for a complete submanifold in a Euclidean space to be totally umbilical is shown.

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