An Exotic Deformation of the Hyperbolic Space

Let Isom(H^n) be the group of isometries of the n-dimensional real hyperbolic space. We first classify all continuous non-elementary actions of on the infinite-dimensional real hyperbolic space. We then prove the existence of a continuous family of non-isometric minimal proper CAT(-1) spaces on which Isom(H^n) acts cocompactly by isometries.


Published in:
American Journal of Mathematics, 136, 5, 1249-1299
Year:
2014
Publisher:
Baltimore, Johns Hopkins Univ Press
ISSN:
0002-9327
Laboratories:




 Record created 2012-01-26, last modified 2018-03-17


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