%0 Journal Article
%T Proper isometric actions
%A J. Carlos Diaz-Ramos
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0811.0547v1