Three-Dimensional Graph Surfaces on Five-Dimensional Carnot–Carathéodory Spaces

被引：0
|
作者：
M. B. Karmanova
机构：
[1] Sobolev Institute of Mathematics,
来源：
Siberian Mathematical Journal | 2018年 / 59卷
关键词：
three-dimensional Lie group; three-dimensional Carnot–Carathéodory space; graph mapping; polynomial sub-Riemannian differentiability; area formula; minimal surface;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：657 / 676
页数：19
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