Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659050 | Topology and its Applications | 2013 | 7 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Geometry and Topology