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.