On the Class of Hölder Surfaces in Carnot—Carathéodory Spaces


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Considering two classes of Hölder mappings of Carnot-Carathéodory spaces, graph mappings and smooth mappings in the Riemannian sense, we obtain an area formula for image surfaces. In particular, we describe the structure of the polynomial sub-Riemannian differential for graph mappings.

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M. Karmanova

Sobolev Institute of Mathematics

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Email: maryka@math.nsc.ru
俄罗斯联邦, Novosibirsk

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