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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 1, Pages 122–142
DOI: https://doi.org/10.17377/smzh.2017.58.113 (Mi smj2846) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Graph surfaces on five-dimensional sub-Lorentzian structures

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (415 kB) Citations (5)
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DOI: https://doi.org/10.17377/smzh.2017.58.113
Abstract: Studying the space-like graph surfaces of codimension $2$ on the five-dimensional sub-Lorentzian structures with two negative directions of distinct degrees, we determine the differential properties of graph mappings and prove the area formula for the corresponding image surfaces.
Keywords: five-dimensional sub-Lorentzian structure, polynomial sub-Riemannian differentiability, intrinsic measure, area formula.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.B25.31.0029
The author was partially supported by the Government of the Russian Federation (Grant 14.B25.31.0029).
Received: 29.12.2015
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 1, Pages 91–108
DOI: https://doi.org/10.1134/S003744661701013X
Bibliographic databases:
Document Type: Article
UDC: 517.518.1+514.747
MSC: 35R30
Language: Russian
Citation: M. B. Karmanova, “Graph surfaces on five-dimensional sub-Lorentzian structures”, Sibirsk. Mat. Zh., 58:1 (2017), 122–142; Siberian Math. J., 58:1 (2017), 91–108
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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