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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 5, Pages 988–997
DOI: https://doi.org/10.17377/smzh.2018.59.504 (Mi smj3024) 		 
The local approximation theorem in various coordinate systems

S. G. Basalaevab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2018.59.504
Abstract: We find some sufficient conditions on the local coordinate system of a Carnot–Carathéodory space of low smoothness that ensure Gromov-type estimates on the divergence of local (quasi)metrics. We also obtain these estimates for the canonical coordinate system of the second kind and various mixed coordinate systems.
Keywords: Carnot–Carathéodory space, local nilpotent approximation.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00801
The author was supported by the Russian Foundation for Basic Research (Grant 17-01-00801).
Received: 04.04.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 5, Pages 778–785
DOI: https://doi.org/10.1134/S003744661805004X
Bibliographic databases:
Document Type: Article
UDC: 514.763.22+514.753.28
Language: Russian
Citation: S. G. Basalaev, “The local approximation theorem in various coordinate systems”, Sibirsk. Mat. Zh., 59:5 (2018), 988–997; Siberian Math. J., 59:5 (2018), 778–785
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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