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.
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Original Russian Text © 2018 Karmanova M.B.
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, vol. 59, no. 5, pp. 1086–1097, September–October, 2018; DOI: 10.17377/smzh.2018.59.510.
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Karmanova, M.B. Polynomial Sub-Riemannian Differentiability on Carnot–Carathéodory Spaces. Sib Math J 59, 860–869 (2018). https://doi.org/10.1134/S0037446618050105
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DOI: https://doi.org/10.1134/S0037446618050105