Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure (Q259838)
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scientific article; zbMATH DE number 6558207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure |
scientific article; zbMATH DE number 6558207 |
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Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure (English)
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18 March 2016
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The graph surfaces for graph mappings on some three-dimensional Lie groups with sub-Riemannian structure, if they can be represented as Carnot-Carathéodory spaces, are considered. The main result is the formula for calculating the intristic measure on the images of such mappings. Also some special differential properties of graph mappings are established.
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three-dimensional Lie group
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graph mapping
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Carnot-Carathéodory space
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graph surface
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sub-Riemannian structure
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