Existence of isoperimetric regions in contact sub-Riemannian manifolds

Details Existence of isoperimetric regions in contact sub-Riemannian manifolds Existence of isoperimetric regions in contact sub-Riemannian manifolds

2010-11-02

arxiv.org/abs/1011.0633v1

Mathematics

Differential Geometry

24 pages, no figures

Scientific paper

We prove existence of regions minimizing perimeter under a volume constraint
in contact sub-Riemannian manifolds such that their quotient by the group of
contact transformations preserving the sub-Riemannian metric is compact.

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