RUS  ENG
Full version
JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2020 Volume 84, Issue 1, Pages 60–104 (Mi im8879)

This article is cited in 10 papers

Two-step sub-Lorentzian structures and graph surfaces

M. B. Karmanova

Novosibirsk State University

Abstract: We establish an area formula for graph mappings on two-step sub-Lorentzian structures with an arbitrary number of spatial and temporal directions. In a particular case, we consider an alternative approach that requires no additional smoothness of the mapping from which the graph is constructed.

Keywords: multi-dimensional sub-Lorentzian structure, Lipschitz mapping, intrinsic basis, intrinsic measure, area formula.

UDC: 517.518.1+514.747

MSC: Primary 53C17; Secondary 53C50

Received: 05.11.2018
Revised: 20.11.2018

DOI: 10.4213/im8879


 English version:
Izvestiya: Mathematics, 2020, 84:1, 52–94

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025