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arxiv: 1011.0633 · v1 · pith:TYXPGNIFnew · submitted 2010-11-02 · 🧮 math.DG · math.MG

Existence of isoperimetric regions in contact sub-Riemannian manifolds

classification 🧮 math.DG math.MG
keywords contactsub-riemannianexistencemanifoldsregionscompactconstraintgroup
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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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