Invariant proper metrics on coset spaces
General Topology
2012-09-19 v1
Abstract
It is known that for every second countable locally compact group G, there exists a proper G-invariant metric which induces the topology of the group. This is no longer true for coset spaces G/H viewed as G-spaces. We study necessary and sufficient conditions which ensure the existence of such metrics on G/H.
Cite
@article{arxiv.1209.3962,
title = {Invariant proper metrics on coset spaces},
author = {Claire Anantharaman-Delaroche},
journal= {arXiv preprint arXiv:1209.3962},
year = {2012}
}
Comments
12 pages