Three-Dimensional Graph Surfaces on Five-Dimensional Carnot–Carathéodory Spaces
- Autores: Karmanova M.1
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Afiliações:
- Sobolev Institute of Mathematics
- Edição: Volume 59, Nº 4 (2018)
- Páginas: 657-676
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171963
- DOI: https://doi.org/10.1134/S0037446618040080
- ID: 171963
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Resumo
We study the class of codimension 2 graph surfaces over some three-dimensional Lie groups and establish some analogs of the differential properties of the corresponding graph mappings. Moreover, we derive the area formula and describe the classes of minimal surfaces of codimension 1 and 2.
Sobre autores
M. Karmanova
Sobolev Institute of Mathematics
Autor responsável pela correspondência
Email: maryka@math.nsc.ru
Rússia, Novosibirsk