Proper isometric actions

Details Proper isometric actions Proper isometric actions

2008-11-04

arxiv.org/abs/0811.0547v1

Mathematics

Differential Geometry

2 pages

Scientific paper

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.

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