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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 5, Pages 1086–1097
DOI: https://doi.org/10.17377/smzh.2018.59.510 (Mi smj3030) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Polynomial sub-Riemannian differentiability on Carnot–Carathéodory spaces

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (316 kB) Citations (4)
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DOI: https://doi.org/10.17377/smzh.2018.59.510
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.
Keywords: Carnot–Carathéodory space, Hölder mapping, polynomial sub-Riemannian differentiability, intrinsic basis.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60036-мол-а-дк
The author was supported by the Russian Foundation for Basic Research (Grant 16-31-60036 mol_a_dk).
Received: 07.12.2016
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 5, Pages 860–869
DOI: https://doi.org/10.1134/S0037446618050105
Bibliographic databases:
Document Type: Article
UDC: 517.518.15+514.7
Language: Russian
Citation: M. B. Karmanova, “Polynomial sub-Riemannian differentiability on Carnot–Carathéodory spaces”, Sibirsk. Mat. Zh., 59:5 (2018), 1086–1097; Siberian Math. J., 59:5 (2018), 860–869
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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