Email this article Maximal Surfaces on Five-Dimensional Group Structures
- Authors: Karmanova M.B.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 59, No 3 (2018)
- Pages: 442-457
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171859
- DOI: https://doi.org/10.1134/S0037446618030072
- ID: 171859
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Abstract
For the classes of the mappings Lipschitz in the sub-Riemannian sense and taking values in the Heisenberg group we introduce some suitable notions of variation of an argument and the corresponding increment of the area functional and derive several basic properties of maximal surfaces on the five-dimensional sub-Lorentzian structures.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, Novosibirsk
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