A New Characterization of Totally Umbilical Hypersurfaces in de Sitter Space

• 作者: Guodong Xu Linfen Cao Zhaohui Dai
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: de SITTER SPACE Spacelike HYPERSURFACE HIGHER Order Mean CURVATURES
• 年，卷（期）: 2014,（2）
• 页码范围: 42-46
• 页数: 5页
• 分类号: O1

摘要

It is shown that a compact spacelike hypersurface which is contained in the chronological future (or past) of an equator of de Sitter space is a totally umbilical round sphere if the kth mean curvature function Hk is a linear combination of Hk+1,…, Hn. This is a new angle to characterize round spheres.