Class of Maximal Graph Surfaces on Multidimensional Two-Step Sub-Lorentzian Structures
- Authors: Karmanova M.B.1
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Affiliations:
- Sobolev Institute of Mathematics, Siberian Branch
- Issue: Vol 97, No 3 (2018)
- Pages: 207-210
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225495
- DOI: https://doi.org/10.1134/S1064562418030043
- ID: 225495
Cite item
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.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics, Siberian Branch
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, Novosibirsk, 630090