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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 5, Pages 1103–1132
DOI: https://doi.org/10.33048/smzh.2019.60.509 (Mi smj3136) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the class of Hölder surfaces in Carnot–Carathéodory spaces

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (615 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2019.60.509
Abstract: Considering two classes of Hölder mappings of Carnot–Carathédory spaces, graph mappings and smooth mappings in the Riemannian sense, we obtain an area formula for image surfaces. In particular, we describe the structure of the polynomial sub-Riemannian differential for graph mappings.
Keywords: Carnot–Carathéodory space, Hölder mapping, graph mapping, polynomial sub-Riemannian differentiability, intrinsic measure, area formula.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60036_мол_а_дк
The author was supported by the Russian Foundation for Basic Research (Grant 16-31-60036-mol-a-dk).
Received: 10.10.2017
Revised: 04.10.2018
Accepted: 17.10.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 5, Pages 861–885
DOI: https://doi.org/10.1134/S0037446619050094
Bibliographic databases:
Document Type: Article
UDC: 517.3+514.7
Language: Russian
Citation: M. B. Karmanova, “On the class of Hölder surfaces in Carnot–Carathéodory spaces”, Sibirsk. Mat. Zh., 60:5 (2019), 1103–1132; Siberian Math. J., 60:5 (2019), 861–885
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj3136
  • https://www.mathnet.ru/eng/smj/v60/i5/p1103
    • This publication is cited in the following 3 articles:
    1. M. B. Karmanova, “O minimalnykh poverkhnostyakh nad mnogoobraziyami Karno proizvolnoi glubiny”, Matem. tr., 25:1 (2022), 74–101  mathnet  crossref
    2. M. B. Karmanova, “Minimal Surfaces Over Carnot Manifolds”, Sib. Adv. Math., 32:3 (2022), 211  crossref
    3. M. B. Karmanova, “Properties of minimal surfaces over depth 2 Carnot manifolds”, Siberian Math. J., 62:6 (2021), 1050–1062  mathnet  crossref  crossref  isi  elib
    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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