Existence of isometric immersions into nilpotent Lie groups
Differential Geometry
2008-10-21 v1
Abstract
We establish necessary and sufficient conditions for existence of isometric immersions of a simply connected Riemannian manifold into a two-step nilpotent Lie group. This comprises the case of immersions into -type groups.
Keywords
Cite
@article{arxiv.0810.3307,
title = {Existence of isometric immersions into nilpotent Lie groups},
author = {J. H. de Lira and M. Melo},
journal= {arXiv preprint arXiv:0810.3307},
year = {2008}
}