M. B. Karmanova, “Metric properties of graphs on Carnot–Carathéodory spaces with sub-Lorentzian structure”, Dokl. RAN. Math. Inf. Proc. Upr., 2020, Volume 490,Pages <nobr>42

MATHEMATICS

Metric properties of graphs on Carnot–Carathéodory spaces with sub-Lorentzian structure

M. B. Karmanova

Novosibirsk State University, Novosibirsk, Russian Federation

Abstract: The notion of a sub-Lorentzian structure with multidimensional time on Carnot–Carathéodory spaces is introduced. It is proved that classes of graph surfaces are spacelike, and a sub-Lorentzian analogue of the area formula is proved.

Keywords: Carnot–Carathéodory space, polynomial $hc$-differential, intrinsic sub-Lorentzian measure, area formula.

UDC: 517.518.1+514.7

Presented: Yu. G. Reshetnyak
Received: 14.05.2019
Revised: 14.05.2019
Accepted: 06.11.2019

DOI: 10.31857/S2686954320010154