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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
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.
DOI:
https://doi.org/10.17377/smzh.2017.58.113
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English version:
Siberian Mathematical Journal, 2017, 58:1, 91–108
Bibliographic databases:
    
UDC:
517.518.1+514.747
MSC: 35R30
Received: 29.12.2015
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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Linking options:
http://mi.mathnet.ru/eng/smj2846 http://mi.mathnet.ru/eng/smj/v58/i1/p122
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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M. B. Karmanova, “Maximal surfaces on five-dimensional group structures”, Siberian Math. J., 59:3 (2018), 442–457
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M. B. Karmanova, “Three-dimensional graph surfaces on five-dimensional Carnot–Carathéodory spaces”, Siberian Math. J., 59:4 (2018), 657–676
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M. B. Karmanova, “Polynomial sub-Riemannian differentiability on Carnot–Carathéodory spaces”, Siberian Math. J., 59:5 (2018), 860–869
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M. B. Karmanova, “Two-step sub-Lorentzian structures and graph surfaces”, Izv. Math., 84:1 (2020), 52–94
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M. B. Karmanova, “Ploschad grafikov na proizvolnykh gruppakh Karno s sublorentsevoi strukturoi”, Sib. matem. zhurn., 61:4 (2020), 823–848
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