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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 2, Pages 305–332
DOI: https://doi.org/10.17377/smzh.2017.58.206 (Mi smj2861) 		 
This article is cited in 25 scientific papers (total in 25 papers)

The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (420 kB) Citations (25)
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DOI: https://doi.org/10.17377/smzh.2017.58.206
Abstract: The polynomial sub-Riemannian differentiability is established for the large classes of Hölder mappings in the sub-Riemannian sense, namely, the classes of smooth mappings, their graphs, and the graphs of Lipschitz mappings in the sub-Riemannian sense defined on nilpotent graded groups. We also describe some special bases that carry the sub-Riemannian structure of the preimage to the image.
Keywords: Carnot group, nilpotent graded group, Hölder mapping, polynomial sub-Riemannian differential, 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: 07.07.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 2, Pages 232–254
DOI: https://doi.org/10.1134/S0037446617020069
Bibliographic databases:
Document Type: Article
UDC: 517.518.15+514.7
MSC: 35R30
Language: Russian
Citation: M. B. Karmanova, “The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups”, Sibirsk. Mat. Zh., 58:2 (2017), 305–332; Siberian Math. J., 58:2 (2017), 232–254
Citation in format AMSBIB
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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