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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 4, Pages 834–857
DOI: https://doi.org/10.17377/smzh.2018.59.408 (Mi smj3013) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Three-dimensional graph surfaces on five-dimensional Carnot–Carathéodory spaces

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (403 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2018.59.408
Abstract: We study the class of codimension 2 graph surfaces over some three-dimensional Lie groups and establish some analogs of the differential properties of the corresponding graph mappings. Moreover, we derive the area formula and describe the classes of minimal surfaces of codimension 1 and 2.
Keywords: three-dimensional Lie group, three-dimensional Carnot-Carathéodory space, graph mapping, polynomial sub-Riemannian differentiability, area formula, minimal surface.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-31063 мол_а
The author was supported by the Russian Foundation for Basic Research (Grant 14-01-31063 mol_a).
Received: 01.02.2016
Revised: 30.01.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 4, Pages 657–676
DOI: https://doi.org/10.1134/S0037446618040080
Bibliographic databases:
Document Type: Article
UDC: 517.2+517.4+514.7
MSC: 35R30
Language: Russian
Citation: M. B. Karmanova, “Three-dimensional graph surfaces on five-dimensional Carnot–Carathéodory spaces”, Sibirsk. Mat. Zh., 59:4 (2018), 834–857; Siberian Math. J., 59:4 (2018), 657–676
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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