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On the Class of Hölder Surfaces in Carnot—Carathéodory Spaces

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Considering two classes of Holder mappings of Carnot-Caratheodory spaces, graph mappings and smooth mappings in the Riemannian sense, we obtain an area formula for image surfaces. In particular, we describe… Click to show full abstract

Considering two classes of Holder mappings of Carnot-Caratheodory 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.

Keywords: carath odory; carnot carath; surfaces carnot; class lder; lder surfaces; odory spaces

Journal Title: Siberian Mathematical Journal
Year Published: 2019

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