... 脐方向 umbilical direction 脐子流形 umbilical submanifold 旗流形 manifold of flags ...
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本文讨论黎曼流形里一般余维的常数平均曲率的子流形为全脐子流形的充要条件。
In this paper, we get a necessary and sufficient condition for a generalcodimensional submanifold with constant mean curvature in a Riemannian mani-fold to be a totally umbilical submanifold.
使得对拟常曲率黎曼流形中紧致子流形的研究由极小子流形和伪脐子流形情形扩展到具有平行平均曲率向量的情形。
The work makes the study of compact submanifolds in quasi constant curvature Riemannian manifolds extend from the especial case to general case.
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