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On the class of Hölder surfaces in Carnot-Carathéodory spaces - MaRDI portal

On the class of Hölder surfaces in Carnot-Carathéodory spaces (Q2282618)

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On the class of Hölder surfaces in Carnot-Carathéodory spaces
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    On the class of Hölder surfaces in Carnot-Carathéodory spaces (English)
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    8 January 2020
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    The paper under review deals with the study of the metric properties of some mappings of Carnot-Carathéodory spaces, in particular, the graph mappings. An area formula for the classes of the Hölder mappings of Carnot-Carathéodory spaces with nondegenerate differential of the polynomial hc-differential is obtained.
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    Carnot-Carathéodory space
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    Hölder mapping
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    graph mapping
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    polynomial sub-Riemannian differentiability
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    intrinsic measure
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    area formula
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