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The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures

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Abstract

We study graph surfaces on 4-dimensional 2-step sub-Lorentzian structures, deduce their differential properties, and prove area formulas for various sub-Lorentzian measures.

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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.

The author was partially supported by the Government of the Russian Federation (Grant 14.B25.31.0029).

Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 5, pp. 1068–1091, September–October, 2015; DOI: 10.17377/smzh.2015.56.508.

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Karmanova, M.B. The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures. Sib Math J 56, 852–871 (2015). https://doi.org/10.1134/S0037446615050080

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  • DOI: https://doi.org/10.1134/S0037446615050080

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