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This article is cited in 7 scientific papers (total in 7 papers)
Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure
M. B. Karmanova
Sobolev Institute of Mathematics, Novosibirsk, Russia
Abstract:
We study some class of graph mappings on certain three-dimensional Lie groups, derive special differential properties of these mappings, and prove the area formula for graph surfaces.
Keywords:
three-dimensional Lie group, graph surface, polynomial sub-Riemannian differentiability, area formula.
DOI:
https://doi.org/10.17377/smzh.2015.56.612
 Full text:
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English version:
Siberian Mathematical Journal, 2015, 56:6, 1080–1092
Bibliographic databases:
   
UDC:
517.518.15+514.7
Received: 25.01.2015
Citation:
M. B. Karmanova, “Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure”, Sibirsk. Mat. Zh., 56:6 (2015), 1351–1365; Siberian Math. J., 56:6 (2015), 1080–1092
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/smj2718 http://mi.mathnet.ru/eng/smj/v56/i6/p1351
Citing articles on Google Scholar:
Russian citations,
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Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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M. B. Karmanova, “Polynomial sub-Riemannian differentiability on Carnot groups”, Dokl. Math., 94:3 (2016), 663–666
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M. B. Karmanova, “Graph surfaces of codimension two over three-dimensional Carnot–Carathéodory spaces”, Dokl. Math., 93:3 (2016), 322–325
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M. B. Karmanova, “The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups”, Siberian Math. J., 58:2 (2017), 232–254
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M. B. Karmanova, “Area formulas for classes of Hölder continuous mappings of Carnot groups”, Siberian Math. J., 58:5 (2017), 817–836
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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, “On the class of Hölder surfaces in Carnot–Carathéodory spaces”, Siberian Math. J., 60:5 (2019), 861–885
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