Stability of hypersurfaces with constant r-mean curvature

被引：0
|
作者：
Barbosa, JLM [1 ]
Colares, AG [1 ]
机构：
[1] UNIV FED CEARA,DEPT MATEMAT,BR-60455760 FORTALEZA,CEARA,BRAZIL
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 1997年 / 15卷 / 03期
关键词：
mean curvature; r-mean curvature; sphere; stability; stable;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We deal with compact hypersurfaces without boundary immersed in space forms with constant r-mean curvature. They are critical points for a variational problem. We show they are stable if and only if they are geodesic spheres, generalizing results on constant mean curvature hypersurfaces.
引用
收藏
页码：277 / 297
页数：21
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