Polynomial Sub-Riemannian Differentiability on Carnot–Carathéodory Spaces
- Autores: Karmanova M.1
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Afiliações:
- Sobolev Institute of Mathematics
- Edição: Volume 59, Nº 5 (2018)
- Páginas: 860-869
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172038
- DOI: https://doi.org/10.1134/S0037446618050105
- ID: 172038
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Resumo
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.
Sobre autores
M. Karmanova
Sobolev Institute of Mathematics
Autor responsável pela correspondência
Email: maryka@math.nsc.ru
Rússia, Novosibirsk
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