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

Сибирский математический журнал

M. B. Karmanova¹ 

[1] Sobolev Institute of Mathematics

关键词: three-dimensional Lie group;    three-dimensional Carnot–Carathéodory space;    graph mapping;    polynomial sub-Riemannian differentiability;    area formula;    minimal surface;   

DOI  :  10.1134/S0037446618040080

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 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.

【 授权许可】

CC BY