Examples of naturally reductive pseudo-Riemannian Lie groups
Differential Geometry
2015-05-28 v1
Abstract
We provide examples of naturally reductive pseudo-Riemannian spaces, in particular an example of a naturally reductive pseudo-Riemannian 2-step nilpotent Lie group , such that is invariant under a left action and for which the center is degenerate. The metric does not correspond to a bi-invariant one.
Keywords
Cite
@article{arxiv.1104.4971,
title = {Examples of naturally reductive pseudo-Riemannian Lie groups},
author = {Gabriela P. Ovando},
journal= {arXiv preprint arXiv:1104.4971},
year = {2015}
}
Comments
7 pages, presented in XIX International Fall Workshop on Geometry and Physics, Porto (2010)