介绍了具有常数平均曲率的超曲面的稳定性概念。
In this paper, the notion of stability of hypersurfaces with constant mean curvature was considered.
研究局部对称空间中具有常数量曲率的紧致超曲面,给出这类超曲面的一个拼挤定理,改进了相关作者的结论。
The paper discusses on the hypersurfaces in locally symmetric manifolds with constant scalar curvature and gets a pinching theorem which improves the known results.
该文研究了局部对称共形平坦空间中具有常数量曲率的紧致子流形,证明了这类子流形的某些内蕴刚性定理。
In this paper, the authors discuss the submanifolds with constant scalar curvature in a locally symmetric and conformally flat space, and obtain some intrinsic rigidity theorems.
利用边界层方法,讨论了第一主曲率为常数的组合旋转壳的轴对称问题。
By using the method of boundary layer, it discusses the axis symmetry problems of the combines rotary shell when its first curvature is in constant.
介绍了具有常数平均曲率的超曲面的稳定性概念。
Study on hypersurface with constant mean curvature in sphere;
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.
我们把CHENG (1977),LI(1996)的结果推广到了非定空间形式中常数量曲率的类空子流形中。
The result is extended in CHENG (1977) and li (1996) to the space-like submanifolds with constant scalar curvature in an indefinite space form.
我们把CHENG (1977),LI(1996)的结果推广到了非定空间形式中常数量曲率的类空子流形中。
The result is extended in CHENG (1977) and li (1996) to the space-like submanifolds with constant scalar curvature in an indefinite space form.
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