Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal smoothness assumptions (Q471380)
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scientific article; zbMATH DE number 6369714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal smoothness assumptions |
scientific article; zbMATH DE number 6369714 |
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Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal smoothness assumptions (English)
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14 November 2014
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The authors deduce some fine geometric properties of basic vector fields on Carnot-Carathéodory spaces under minimal assuptions on smoothness. These lead to estimates of the approximation of a Carnot-Carathéodory space by local homogeneous groups. This argument will conduce to achieve a contribution to isoperimetric inequalities for the \(C^2\)-hypersurfaces in a Carnot-Carathéodory space replaced by \(C^1\)-ones.
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Carnot-Caratheodory spaces
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vector fields
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local homogeneous groups
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0.9984483
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0.8628946
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0.8603927
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0.85868907
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0.85206723
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0.84981275
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