Polynomial sub-Riemannian differentiability on Carnot groups


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Abstract

The polynomial sub-Riemannian differentiability of classes of mappings of Carnot groups and graphs is proved. Examples of polynomial sub-Riemannian differentials preserving Hausdorff dimension are given.

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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