[Publications][Nicolas Monod]

An exotic deformation of the hyperbolic space

We construct a continuous family of non-isometric minimal proper CAT(-1) spaces on which the isometry group Isom(Hn) of the hyperbolic n-space acts minimally and cocompactly by isometries. This provides the first examples of non-standard CAT(0) model spaces for simple Lie groups. We also classify all continuous non-elementary actions of Isom(Hn) on the infinite-dimensional real hyperbolic space.

Authors: N. Monod and P. Py
Bibliographical: American Journal of Mathematics 136 No. 5 (2014), 1249–1299
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[Publications][Nicolas Monod]