Stable H-Minimal Hypersurfaces

被引：8
|
作者：
Montefalcone, Francescopaolo [1 ]
机构：
[1] Univ Padua, Dipartimento Matemat, Via Trieste 63, I-35121 Padua, Italy
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2015年 / 25卷 / 02期
关键词：
Carnot groups; H-minimal hypersurfaces; First and second variation; H-perimeter; Stability; Characteristic set; CONSTANT MEAN-CURVATURE; REGULAR HYPERSURFACES; INTRINSIC PERIMETER; SURFACES; RECTIFIABILITY; SUBMANIFOLDS; STABILITY; GRAPHS;
D O I：
10.1007/s12220-013-9447-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove some stability results for smooth non-characteristic H-minimal hypersurfaces immersed in a sub-Riemannian k-step Carnot group G. The main tools are the formulas for the first and second variation of the H-perimeter measure sigma(n-1)(H) together with some non-trivial geometric identities.
引用
收藏
页码：820 / 870
页数：51
相关论文
共 50 条
12345