The Cartan exponential map in semi-simple compact Lie groups
Differential Geometry
2020-02-28 v2 Group Theory
Abstract
In this paper we introduce a new type of exponential map in semi-simple compact Lie groups, which is related to the sub-Riemannian geometry generated by the orthogonal complement of a Cartan subalgebra in a similar way to how the group exponential map is related to the Riemannian geometry.
Keywords
Cite
@article{arxiv.2001.09527,
title = {The Cartan exponential map in semi-simple compact Lie groups},
author = {András Domokos},
journal= {arXiv preprint arXiv:2001.09527},
year = {2020}
}