Invariant proper metrics on coset spaces

Claire Anantharaman-Delaroche

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arXiv · 1209.3962

Invariant proper metrics on coset spaces

Claire Anantharaman-Delaroche

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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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BibTeX RIS

Claire Anantharaman-Delaroche. 2012-09-18. Invariant proper metrics on coset spaces. https://arxiv.org/abs/1209.3962

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