VARIATION OF PERIMETER MEASURE IN SUB-RIEMANNIAN GEOMETRY

被引：0
|
作者：
Hladky, Robert K. [1 ]
Pauls, Scott D. [2 ]
机构：
[1] North Dakota State Univ, Fargo, ND 58108 USA
[2] Dartmouth Coll, Hanover, NH 03755 USA
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2013年 / 6卷 / 01期
关键词：
Carnot-Caratheodory geometry; minimal surfaces; CMC surfaces; isoperimetric problem; characteristic set;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive a formula for the first variation of horizontal perimeter measure for C-2 hypersurfaces of completely general sub-Riemannian manifolds, allowing for the existence of characteristic points. When the manifold admits dilations, we establish a sub-Riemannian Minkowski formula. For C-2 hypersurfaces in vertically rigid sub-Riemannian manifolds we also produce a second variation formula for variations supported away from the characteristic locus.
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页码：8 / 40
页数：33
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