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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 6, Pages 1351–1365
DOI: https://doi.org/10.17377/smzh.2015.56.612 (Mi smj2718) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (345 kB) Citations (7)
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DOI: https://doi.org/10.17377/smzh.2015.56.612
Abstract: We study some class of graph mappings on certain three-dimensional Lie groups, derive special differential properties of these mappings, and prove the area formula for graph surfaces.
Keywords: three-dimensional Lie group, graph surface, polynomial sub-Riemannian differentiability, area formula.
Received: 25.01.2015
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 6, Pages 1080–1092
DOI: https://doi.org/10.1134/S0037446615060129
Bibliographic databases:
Document Type: Article
UDC: 517.518.15+514.7
Language: Russian
Citation: M. B. Karmanova, “Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure”, Sibirsk. Mat. Zh., 56:6 (2015), 1351–1365; Siberian Math. J., 56:6 (2015), 1080–1092
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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