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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.
Romain Christophe Rémy Fleury, Haoye Qin, Zhe Zhang, Aleksi Antoine Bossart
Gonzalo Emiliano Ruiz Stolowicz