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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 4, Pages 823–848
DOI: https://doi.org/10.33048/smzh.2020.61.408 (Mi smj6022) 		 
This article is cited in 8 scientific papers (total in 8 papers)

The area of graphs on arbitrary carnot groups with sub-lorentzian structure

M. B. Karmanova

Novosibirsk State University
Full-text PDF (607 kB) Citations (8)
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DOI: https://doi.org/10.33048/smzh.2020.61.408
Abstract: We prove the area formula for the classes of graph mappings on the Carnot groups and nilpotent graded groups with sub-Lorentzian structure which are of arbitrary dimension and depth. The number of spacelike and timelike directions is arbitrary as well.
Keywords: Carnot group, nilpotent graded group, multidimensional sub-Lorentzian structure, intrinsic basis, intrinsic measure, area formula.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
The author was supported by the Regional Mathematical Center of Novosibirsk State University.
Received: 24.01.2019
Revised: 13.04.2020
Accepted: 17.06.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 4, Pages 648–670
DOI: https://doi.org/10.1134/S0037446620040084
Bibliographic databases:
Document Type: Article
UDC: 517.518.1+514.747
MSC: 35R30
Language: Russian
Citation: M. B. Karmanova, “The area of graphs on arbitrary carnot groups with sub-lorentzian structure”, Sibirsk. Mat. Zh., 61:4 (2020), 823–848; Siberian Math. J., 61:4 (2020), 648–670
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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