Email this article Three-Dimensional Graph Surfaces on Five-Dimensional Carnot–Carathéodory Spaces
- Authors: Karmanova M.B.1
-
Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 59, No 4 (2018)
- Pages: 657-676
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171963
- DOI: https://doi.org/10.1134/S0037446618040080
- ID: 171963
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, Novosibirsk
