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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2023 Volume 26, Number 2, Pages 138–161 (Mi mt683)

This article is cited in 4 papers

Lipschitz images of open sets on sub-Lorentzian structures

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia

Abstract: We prove a sub-Lorentzian analog of the area formula for intrinsically Lipschitz mappings of open subsets of Carnot groups of arbitrary depth with a sub-Lorentzian structure introduced on the image space.

Key words: sub-Riemannian quasimetric, open set, Lipschitz mapping, Carnot group, sub-Lorentzian structure, Hausdorff measure, area formula.

UDC: 517.518.1

Received: 05.08.2023
Revised: 28.09.2023
Accepted: 05.10.2023

DOI: 10.33048/mattrudy.2023.26.207


 English version:
Siberian Advances in Mathematics, 2024, 34:1, 67–79


© Steklov Math. Inst. of RAS, 2025