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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 5, Pages 1068–1091
DOI: https://doi.org/10.17377/smzh.2015.56.508 (Mi smj2698) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The area formula for graphs on $4$-dimensional $2$-step sub-Lorentzian structures

M. B. Karmanova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (426 kB) Citations (9)
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DOI: https://doi.org/10.17377/smzh.2015.56.508
Abstract: We study graph surfaces on $4$-dimensional $2$-step sub-Lorentzian structures, deduce their differential properties, and prove area formulas for various sub-Lorentzian measures.
Keywords: sub-Lorentzian geometry, graph surface, area formula, Hausdorff measure.
Received: 25.01.2015
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 5, Pages 852–871
DOI: https://doi.org/10.1134/S0037446615050080
Bibliographic databases:
Document Type: Article
UDC: 514.747+517.518.15
Language: Russian
Citation: M. B. Karmanova, “The area formula for graphs on $4$-dimensional $2$-step sub-Lorentzian structures”, Sibirsk. Mat. Zh., 56:5 (2015), 1068–1091; Siberian Math. J., 56:5 (2015), 852–871
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
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