Existence of isoperimetric regions in contact sub-Riemannian manifolds

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:397

Article

Galli, Matteo¹  Ritore, Manuel¹ 

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

关键词: Sub-Riemannian geometry;    Contact geometry;    Isoperimetric regions;    Isoperimetric profile;    Carnot-Caratheodory distance;   

DOI  :  10.1016/j.jmaa.2012.08.017

来源: Elsevier

【 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.

【 授权许可】

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