M. B. Karmanova, “Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure”, Sibirsk. Mat. Zh., 2015, Volume 56, Number 6,Pages <nobr>1351

This article is cited in 7 papers

Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: We study some class of graph mappings on certain three-dimensional Lie groups, derive special differential properties of these mappings, and prove the area formula for graph surfaces.

Keywords: three-dimensional Lie group, graph surface, polynomial sub-Riemannian differentiability, area formula.

UDC: 517.518.15+514.7

Received: 25.01.2015

DOI: 10.17377/smzh.2015.56.612