Isometry groups of non‐positively curved spaces: discrete subgroups
Isometry groups of non‐positively curved spaces: discrete subgroups
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非正弯曲空间的等距群：离散子群
DOI：
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发表时间：
2009
期刊：
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通讯作者：
N. Monod
中科院分区：
文献类型：
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作者：
P. Caprace;N. Monod
我们研究非正曲度量空间中的格。博雷尔密度是建立在该设置以及一种形式的莫斯托刚度。提供了平坦环面定理的匡威。几何算术性的结果是在绕道抽象格的超刚性和算术性之后得到的。研究了格的剩余有限性。黎曼对称空间在允许格的CAT（0）空间中被刻画为抛物等距的存在。
We study lattices in non‐positively curved metric spaces. Borel density is established in that setting as well as a form of Mostow rigidity. A converse to the flat torus theorem is provided. Geometric arithmeticity results are obtained after a detour through super‐rigidity and arithmeticity of abstract lattices. Residual finiteness of lattices is also studied. Riemannian symmetric spaces are characterized amongst CAT(0) spaces admitting lattices in terms of the existence of parabolic isometries.