A sufficient condition for congruency of orbits of Lie groups and some applications
Differential Geometry
2012-12-18 v1
Abstract
We give a sufficient condition for isometric actions to have the congruency of orbits, that is, all orbits are isometrically congruent to each other. As applications, we give simple and unified proofs for some known congruence results, and also provide new examples of isometric actions on symmetric spaces of noncompact type which have the congruency of orbits.
Keywords
Cite
@article{arxiv.1212.3893,
title = {A sufficient condition for congruency of orbits of Lie groups and some applications},
author = {Akira Kubo and Hiroshi Tamaru},
journal= {arXiv preprint arXiv:1212.3893},
year = {2012}
}
Comments
6 pages