摘要
该文对anti-de Sitter空间H1n+1中的紧致类空超曲面建立了积分公式,并应用它们在常高阶平均曲率的条件下讨论了H1n+1中紧致类空超曲面的全脐问题．
In this paper, the authors develop some integral formulas for compact space-like hypersurfaces in anti-de Sitter spacetime H^n＋1 1 and apply them to characterize the totally umbilical ones in H^n＋1 1 as the only compact space-like hypersurfaces with constant higher order mean curvature under some appropriate hypothesis.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2007年第2期302-308,共7页
Acta Mathematica Scientia
基金
国家自然科学基金(10371047)资助
作者简介
E-mail：zishenghu@yahoo．com.cn
