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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