科研之友
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摘要
On the one hand, we construct a continuous family of non-isometric proper CAT(-1) spaces on which the isometry group Isom(H-n) of the real hyperbolic n-space acts minimally and cocompactly. This provides the first examples of non-standard CAT(0) model spaces for simple Lie groups. On the other hand, we classify all continuous non-elementary actions of Isom(H-n) on the infinite-dimensional real hyperbolic space. It turns out that they are in correspondence with the exotic model spaces that we construct.
- 出版日期2014-10
