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1)  negatively curved manifold
负曲率流形
2)  Riemannian manifolds with a little negative curvature
小负曲率流形
3)  constant curvature manifold
常曲率流形
4)  quasi-constant curvature manifold
拟常曲率流形
1.
Researches the submanifolds in nested space,for constant curvature Riemannian submanifold in quasi-constant curvature manifold and pseudo-umbilical submanifold with parallel mean curvature vector in constant curvature Riemannian submanifold,presents three sufficient conditions for this pseudo-umbilical submanifold to be total-umibilical submanifold,generalizes the result of JI Yongqiang.
对于拟常曲率流形中的常曲率黎曼子流形以及常曲率黎曼子流形中具有平行中曲率向量的紧致伪脐子流形,给出了这种伪脐子流形是全脐子流形的3个充分条件,推广了纪永强的相关结果。
5)  Submanifold with positive curvature
正曲率子流形
6)  Riemannian manifold
常曲率黎曼流形
1.
The compact pseudo-umbilical submanifold with parallel mean curvature vector in the Riemannian manifold with constant curvature
常曲率黎曼流形中具有平行中曲率向量的紧致伪脐子流形
补充资料:负流
1.谓游水。
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