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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2020 Volume 61, Number 4, Pages 823–848 (Mi smj6022)

This article is cited in 8 papers

The area of graphs on arbitrary carnot groups with sub-lorentzian structure

M. B. Karmanova

Novosibirsk State University

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.

Keywords: Carnot group, nilpotent graded group, multidimensional sub-Lorentzian structure, intrinsic basis, intrinsic measure, area formula.

UDC: 517.518.1+514.747

MSC: 35R30

Received: 24.01.2019
Revised: 13.04.2020
Accepted: 17.06.2020

DOI: 10.33048/smzh.2020.61.408


 English version:
Siberian Mathematical Journal, 2020, 61:4, 648–670

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© Steklov Math. Inst. of RAS, 2025