Class of Maximal Graph Surfaces on Multidimensional Two-Step Sub-Lorentzian Structures

M. B. Karmanova
Translated by I. Ruzanova

Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia

Correspondence to: e-mail: maryka@math.nsc.ru

Received 25 December, 2017

Abstract—Necessary maximality conditions for graph surfaces in a class of two-step sub-Lorentzian structures are obtained. The concept of a sub-Lorentzian mean curvature is introduced, and equations for maximal surfaces are deduced.

DOI: 10.1134/S1064562418030043