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Izvestiya: Mathematics, 2014, Volume 78, Issue 3, Pages 475–499
DOI: https://doi.org/10.1070/IM2014v078n03ABEH002695 (Mi im8083) 		 
This article is cited in 22 scientific papers (total in 22 papers)

An area formula for Lipschitz mappings of Carnot–Carathéodory spaces

M. B. Karmanovaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
English version PDF (411 kB) Citations (22)
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DOI: https://doi.org/10.1070/IM2014v078n03ABEH002695
Abstract: We prove a sub-Riemannian analogue of the area formula for Lipschitz mappings (in the sub-Riemannian sense) between equiregular Carnot–Carathéodory spaces. In particular, we give an adequate analytic definition of the sub-Riemannian Jacobian.
Keywords: Carnot–Carathéodory space, differentiability, Lipschitz mapping, sub-Riemannian quasi-metric, area formula.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 8217
НШ-2263.2014.1
Russian Foundation for Basic Research 14-01-31063-мол-а
Received: 20.12.2012
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 3, Pages 53–78
DOI: https://doi.org/10.4213/im8083
Bibliographic databases:
Document Type: Article
UDC: 514.7+517.518.1
MSC: 53C17, 46E35, 30C65
Language: English
Original paper language: Russian
Citation: M. B. Karmanova, “An area formula for Lipschitz mappings of Carnot–Carathéodory spaces”, Izv. RAN. Ser. Mat., 78:3 (2014), 53–78; Izv. Math., 78:3 (2014), 475–499
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2014v078n03ABEH002695
  • https://www.mathnet.ru/eng/im/v78/i3/p53
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:515
    Russian version PDF:186
    English version PDF:22
    References:75
    First page:15
     
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