STABLE MINIMAL HYPERSURFACES WITH WEIGHTED POINCARE INEQUALITY IN A RIEMANNIAN MANIFOLD

被引：0

作者：

Nguyen Dinh Sang ^{[1
]}

Nguyen Thi Thanh ^{[2
]}

机构：

[1] Hanoi Univ Sci VNU HUS, Dept Math, Nguyen Trai St, Hanoi, Vietnam

[2] Tran Phu High Sch Gifted, Hai Phong City, Vietnam

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 29卷 / 01期

关键词：

minimal hypersurface; stability; weighted Poincare inequality;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we investigate stable minimal hypersurfaces with weighted Poincare inequality. We show that we still get the vanishing property without assuming that the hypersurfaces is non-totally geodesic. This generalizes a result in [2].

引用

页码：123 / 130

页数：8

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