Proper isometric actions
Differential Geometry
2008-11-05 v1
Abstract
We prove the following to results: (1) A subgroup G of the isometry group of a Riemannian manifold M acts properly on M if and only if G is closed in the isometry group of M. (2) The orbits of an isometric action are closed if and only if the action is orbit equivalent to a proper isometric action.
Cite
@article{arxiv.0811.0547,
title = {Proper isometric actions},
author = {J. Carlos Diaz-Ramos},
journal= {arXiv preprint arXiv:0811.0547},
year = {2008}
}
Comments
2 pages