摘要
本文考虑双曲空间中的紧致超曲面在平均曲率下的形变.证明了如果初始曲面满足某一凸性条件,则超曲面收敛到一个“圆点”.
In this paper, the deformation of compact hypersurfaces in a hyperbolic space by their mean curvatures is considered. It is proved that such deforming hypersurfaces converge to a round point in Huiskens sense, provided that the initial hypersurface satisfies a certain convexity condition.
出处
《杭州大学学报(自然科学版)》
CSCD
1998年第1期1-6,共6页
Journal of Hangzhou University Natural Science Edition
关键词
双曲空间
超曲面
平均曲率
形变
hyperbolic space
hypersurface
mean curvature
deformation