常平均曲率超曲面的曲率估计与稳定性

Curvature Estimation and Stability of Constant Mean Curvature Hypersurfaces

中文关键词:  常平均曲率  共形度量  曲率估计  强稳定性

英文关键词:constant mean curvature  conformal metric  curvature estimation  strongly sta- bility.

中文摘要:

      本文估计了空间形式Ｎ^ｎ＋１（ｃ）中常平均曲率超曲面上共形度量的曲率上界，并用其研究了Ｎ^ｎ＋１（ｃ）中常平均曲率超曲面的强稳定性．

英文摘要:

      In this paper we estimate the Gaussian curvature of a conformal metric on a hypersurface with constant mean curvature in the space form N^ｎ＋１(C). By use of the estimation, we study the stability of the domains of hypersurfaces with constant mean curvature in N^ｎ＋１ (C).