Polynomial Sub-Riemannian Differentiability on Carnot–Carathéodory Spaces
- Авторы: Karmanova M.1
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Учреждения:
- Sobolev Institute of Mathematics
- Выпуск: Том 59, № 5 (2018)
- Страницы: 860-869
- Раздел: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172038
- DOI: https://doi.org/10.1134/S0037446618050105
- ID: 172038
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Аннотация
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.
Об авторах
M. Karmanova
Sobolev Institute of Mathematics
Автор, ответственный за переписку.
Email: maryka@math.nsc.ru
Россия, Novosibirsk
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