A Rigidity Theorem for Non-Negatively Immersed Submanifolds
Citation：
Zhang Gaoyong.A Rigidity Theorem for Non-Negatively Immersed Submanifolds[J].Chinese Annals of Mathematics B,1990,11(4):395~402
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Authors：
Zhang Gaoyong;
Abstract：
The paper ia to generalize the rigidity theorem that the special Weingarten surface is the sphere to the case of submanifolds. It is proved that a non-negatively immersed compact submaifnold in space form of constant curvature is a Riemannian product of several totally umbilical submanifolds if the mean curvature and the scalar curvature of the submanifold satisfy a certain function relation.
