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

页码：277 / 297

页数：21

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