Sub-semi-Riemannian geometry on $H$-type groups
Differential Geometry
2010-10-22 v1
Abstract
We consider (eisenberg)-type groups whose law of left translation gives rise to a bracket generating distribution of step 2. In the contrast with sub-Riemannian studies we furnish the horizontal distribution with a nondegenerate indefinite metric of arbitrary index and investigate the problem concerning causal geodesics on underlying manifolds. The exact formulae for geodesics are obtained.
Cite
@article{arxiv.1010.4392,
title = {Sub-semi-Riemannian geometry on $H$-type groups},
author = {Anna Korolko},
journal= {arXiv preprint arXiv:1010.4392},
year = {2010}
}