Geodesics and curvature of semidirect product groups
Differential Geometry
2007-05-23 v1
Abstract
Geodesics and curvature of semidirect product groups with right invariant metrics are determined. In the special case of an isometric semidirect product, the curvature is shown to be the sum of the curvature of the two groups. A series of examples, like the magnetic extension of a group, are then considered.
Keywords
Cite
@article{arxiv.math/0103141,
title = {Geodesics and curvature of semidirect product groups},
author = {Cornelia Vizman},
journal= {arXiv preprint arXiv:math/0103141},
year = {2007}
}
Comments
10 pages, Latex2e