Non-property (t) for SO(n,1)

Fuente: arXiv
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Autor principal: Zhou, Yongbin
Formato: Preprint
Publicado: 2026
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author Zhou, Yongbin
author_facet Zhou, Yongbin
contents We construct a concrete model for the measured wall of finite dinensional hyperbolic space, and construct the measure on it, so that the hyperbolic distance between two points equals to the measure of walls seperating them, up to a constant positive scalar. This offers a concrete proof for the fact that SO(n,1) is not T-group.
format Preprint
id arxiv_https___arxiv_org_abs_2605_24400
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Non-property (t) for SO(n,1)
Zhou, Yongbin
Geometric Topology
Group Theory
We construct a concrete model for the measured wall of finite dinensional hyperbolic space, and construct the measure on it, so that the hyperbolic distance between two points equals to the measure of walls seperating them, up to a constant positive scalar. This offers a concrete proof for the fact that SO(n,1) is not T-group.
title Non-property (t) for SO(n,1)
topic Geometric Topology
Group Theory
url https://arxiv.org/abs/2605.24400