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The Area of Graphs on Arbitrary Carnot Groups with Sub-Lorentzian Structure

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Abstract

We prove the area formula for the classes of graph mappings on the Carnot groups and nilpotent graded groups with sub-Lorentzian structure which are of arbitrary dimension and depth. The number of spacelike and timelike directions is arbitrary as well.

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Funding

The author was supported by the Regional Mathematical Center of Novosibirsk State University.

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  1. Novosibirsk State University, 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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Karmanova, M.B. The Area of Graphs on Arbitrary Carnot Groups with Sub-Lorentzian Structure. Sib Math J 61, 648–670 (2020). https://doi.org/10.1134/S0037446620040084

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  • DOI: https://doi.org/10.1134/S0037446620040084

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