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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2017 Volume 58, Number 1, Pages 122–142 (Mi smj2846)

This article is cited in 5 papers

Graph surfaces on five-dimensional sub-Lorentzian structures

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: Studying the space-like graph surfaces of codimension $2$ on the five-dimensional sub-Lorentzian structures with two negative directions of distinct degrees, we determine the differential properties of graph mappings and prove the area formula for the corresponding image surfaces.

Keywords: five-dimensional sub-Lorentzian structure, polynomial sub-Riemannian differentiability, intrinsic measure, area formula.

UDC: 517.518.1+514.747

MSC: 35R30

Received: 29.12.2015

DOI: 10.17377/smzh.2017.58.113


 English version:
Siberian Mathematical Journal, 2017, 58:1, 91–108

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© Steklov Math. Inst. of RAS, 2025