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Izvestiya: Mathematics, 2020, Volume 84, Issue 1, Pages 52–94
DOI: https://doi.org/10.1070/IM8879 (Mi im8879) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Two-step sub-Lorentzian structures and graph surfaces

M. B. Karmanova

Novosibirsk State University
English version PDF (718 kB) Citations (10)
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DOI: https://doi.org/10.1070/IM8879
Abstract: We establish an area formula for graph mappings on two-step sub-Lorentzian structures with an arbitrary number of spatial and temporal directions. In a particular case, we consider an alternative approach that requires no additional smoothness of the mapping from which the graph is constructed.
Keywords: multi-dimensional sub-Lorentzian structure, Lipschitz mapping, intrinsic basis, intrinsic measure, area formula.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 1.3087.2017/4.6
This publication was carried out with the financial support of the Ministry of Science and Education of Russian Federation (grant no 1.3087.2017/4.6).
Received: 05.11.2018
Revised: 20.11.2018
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2020, Volume 84, Issue 1, Pages 60–104
DOI: https://doi.org/10.4213/im8879
Bibliographic databases:
Document Type: Article
UDC: 517.518.1+514.747
MSC: Primary 53C17; Secondary 53C50
Language: English
Original paper language: Russian
Citation: M. B. Karmanova, “Two-step sub-Lorentzian structures and graph surfaces”, Izv. RAN. Ser. Mat., 84:1 (2020), 60–104; Izv. Math., 84:1 (2020), 52–94
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im8879
  • https://doi.org/10.1070/IM8879
  • https://www.mathnet.ru/eng/im/v84/i1/p60
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:410
    Russian version PDF:89
    English version PDF:25
    References:57
    First page:12
     
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