de Siteer空间中拟紧致超曲面的一个全脐条件(英文)

A Totally Umbilical Condition of Compact Space-like Hypersurfaces in the de Sitter Space

中文关键词:  拟超曲面  截面曲率  数量曲率

英文关键词:space-like hypersurface  sectional curvature  scalar curvature.

中文摘要:

      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。

英文摘要:

      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.