Metric properties of classes of Hölder surfaces on Carnot groups


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Abstract

Area formulas for classes of Hölder mappings of Carnot groups and the corresponding graph mappings are obtained. The calculation of a nonintrinsic measure is exemplified.

About the authors

M. B. Karmanova

Sobolev Institute of Mathematics, Siberian Branch

Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, pr. Akademika Koptyuga 4, Novosibirsk, 630090

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