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

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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 6, Pages 1351–1365
DOI: https://doi.org/10.17377/smzh.2015.56.612 (Mi smj2718)

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

Full-text PDF (345 kB) Citations (7)

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DOI: https://doi.org/10.17377/smzh.2015.56.612

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.

Received: 25.01.2015

English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 6, Pages 1080–1092
DOI: https://doi.org/10.1134/S0037446615060129

Bibliographic databases:

Document Type: Article

UDC: 517.518.15+514.7

Language: Russian

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:

https://www.mathnet.ru/eng/smj2718

https://www.mathnet.ru/eng/smj/v56/i6/p1351

This publication is cited in the following 7 articles:

M. B. Karmanova, “On the class of Hölder surfaces in Carnot–Carathéodory spaces”, Siberian Math. J., 60:5 (2019), 861–885
M. B. Karmanova, “Three-dimensional graph surfaces on five-dimensional Carnot–Carathéodory spaces”, Siberian Math. J., 59:4 (2018), 657–676
M. B. Karmanova, “Polynomial sub-Riemannian differentiability on Carnot–Carathéodory spaces”, Siberian Math. J., 59:5 (2018), 860–869
M. B. Karmanova, “The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups”, Siberian Math. J., 58:2 (2017), 232–254
M. B. Karmanova, “Area formulas for classes of Hölder continuous mappings of Carnot groups”, Siberian Math. J., 58:5 (2017), 817–836
M. B. Karmanova, “Polynomial sub-Riemannian differentiability on Carnot groups”, Dokl. Math., 94:3 (2016), 663–666
M. B. Karmanova, “Graph surfaces of codimension two over three-dimensional Carnot–Carathéodory spaces”, Dokl. Math., 93:3 (2016), 322–325

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	316
Full-text PDF :	90
References:	65
First page:	8

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