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Class of Maximal Graph Surfaces on Multidimensional Two-Step Sub-Lorentzian Structures

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Abstract

Necessary maximality conditions for graph surfaces in a class of two-step sub-Lorentzian structures are obtained. The concept of a sub-Lorentzian mean curvature is introduced, and equations for maximal surfaces are deduced.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    M. B. Karmanova

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

Additional information

Original Russian Text © M.B. Karmanova, 2018, published in Doklady Akademii Nauk, 2018, Vol. 480, No. 1, pp. 16–20.

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Karmanova, M.B. Class of Maximal Graph Surfaces on Multidimensional Two-Step Sub-Lorentzian Structures. Dokl. Math. 97, 207–210 (2018). https://doi.org/10.1134/S1064562418030043

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  • DOI: https://doi.org/10.1134/S1064562418030043

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