Geometric inequalities in Carnot groups (Q2391404)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric inequalities in Carnot groups |
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Geometric inequalities in Carnot groups (English)
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31 July 2013
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For a sub-Riemannian \(k\)-step Carnot group \(G\) of homogeneous dimension the authors prove several geometric inequalities concerning smooth hypersurfaces (submanifolds of codimension one) immersed in \(G\), endowed with the \(H\)-perimeter measure. This argument is a contribution to isoperimetric inequalities.
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sub-Riemannian geometry
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\(k\)-step Carnot group
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\(H\)-perimeter measure
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