An example of a Carnot manifold with \(C^{1}\)-smooth basis vector fields (Q647881)
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scientific article; zbMATH DE number 5975547
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An example of a Carnot manifold with \(C^{1}\)-smooth basis vector fields |
scientific article; zbMATH DE number 5975547 |
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An example of a Carnot manifold with \(C^{1}\)-smooth basis vector fields (English)
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21 November 2011
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The author gives an example of a Carnot manifold defined by basis vectors which are \(C^1\) but not \(C^2\). The underlying manifold is an open subset of \(\mathbb{R}^3\).
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Carnot manifold
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commutator of vector fields
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minimal smoothness
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bracket generating
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