Existence of isoperimetric regions in contact sub-Riemannian manifolds (Q2912635)
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scientific article; zbMATH DE number 6082892
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of isoperimetric regions in contact sub-Riemannian manifolds |
scientific article; zbMATH DE number 6082892 |
Statements
14 September 2012
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sub-Riemannian geometry
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contact geometry
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isoperimetric regions
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isoperimetric profile
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Carnot-Carathéodory distance
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Existence of isoperimetric regions in contact sub-Riemannian manifolds (English)
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The authors prove the existence of regions minimizing the 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. This contribution is a reduced version of the paper [J. Math. Anal. Appl. 397, No. 2, 697--714 (2013; Zbl 1296.53059)].NEWLINENEWLINEFor the entire collection see [Zbl 1243.00023].
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