Existence of isoperimetric regions in contact sub-Riemannian manifolds

被引：24

作者：

Galli, Matteo ^{[1
]}

Ritore, Manuel ^{[1
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 397卷 / 02期

关键词：

Sub-Riemannian geometry; Contact geometry; Isoperimetric regions; Isoperimetric profile; Carnot-Caratheodory distance; FINITE PERIMETER; FINE PROPERTIES; VECTOR-FIELDS; INEQUALITIES; CURVATURE; THEOREMS; SETS;

D O I：

10.1016/j.jmaa.2012.08.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence of regions minimizing perimeter under a volume constraint in contact sub-Riemannian manifolds whose quotient by the group of contact transformations preserving the sub-Riemannian metric is compact. (C) 2012 Elsevier Inc. All rights reserved.

引用

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页码：697 / 714

页数：18

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