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Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure

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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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    M. B. Karmanova

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  1. M. B. Karmanova
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Correspondence to M. B. Karmanova.

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Original Russian Text Copyright © 2015 Karmanova M.B.

Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 6, pp. 1351–1365, November–December, 2015; DOI: 10.17377/smzh.2015.56.612.

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Karmanova, M.B. Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure. Sib Math J 56, 1080–1092 (2015). https://doi.org/10.1134/S0037446615060129

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  • DOI: https://doi.org/10.1134/S0037446615060129

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