Email this article The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups
- Authors: Karmanova M.B.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 58, No 2 (2017)
- Pages: 232-254
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171061
- DOI: https://doi.org/10.1134/S0037446617020069
- ID: 171061
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Abstract
The polynomial sub-Riemannian differentiability is established for the large classes of Hölder mappings in the sub-Riemannian sense, namely, the classes of smooth mappings, their graphs, and the graphs of Lipschitz mappings in the sub-Riemannian sense defined on nilpotent graded groups. We also describe some special bases that carry the sub-Riemannian structure of the preimage to the image.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, Novosibirsk
