The general event horizon formula of black hole is given from null hypersurface equation. 从零曲面方程出发 ;导出了黑洞视界面的普遍公式 .
The former is described by a few equations, whereas the latter requires the specification of vast amounts of initial data on some hypersurface. 前者只包含了几个方程式,而后者却需要在某个超曲面(hypersurface)上,给定一大堆初始资料。
It shows that there are similarities between the role of the link of a hypersurface singularity and the space of directions of a singularity in an Alexandrov space. 证明超曲面奇点的链环与亚历山大洛夫空间的奇点的方向空间有一些相似之处.
In this paper,an intrinsic condition for a Compact Space-like hypersurface with constant scalar curvature in a de Sitter space to be totally umbilical is obtained. 在这篇文章中;讨论了具有常数量曲率的拟紧致超曲面;并给出了它是全脐子流形的一个全脐条件.
In this paper, an intrinsic condition for a Compact Space-like hypersurface with constant scalar curvature in a de Sitter space to be totally umbilical is obtained. 摘要在这篇文章中,讨论了具有常数量曲率的拟紧致超曲面,并给出了它是全脐子流形的一个全脐条件。
In this paper , a rigidity theorem of hypersurface in real space form will begiven.In addition, we obtain rigidity theorems of submanifold in sphere which improvethe result of Hou and Xu. 本文给出实空间形式中超曲面的一个刚性定理,同时也得到求面中子流形的刚性结果.