Email this article Polynomial Sub-Riemannian Differentiability on Carnot–Carathéodory Spaces
- Authors: Karmanova M.B.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 59, No 5 (2018)
- Pages: 860-869
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172038
- DOI: https://doi.org/10.1134/S0037446618050105
- ID: 172038
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Abstract
We show that the classes of Hölder mappings of Carnot–Carathéodory spaces are polynomially differentiable in the sub-Riemannian sense. Moreover, we prove the existence of intrinsic (or adapted) bases, which enable us to match the nonholonomic structures of the images of mappings and target spaces.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, Novosibirsk
