Kleinian model
In mathematics, a Kleinian model is a model of a three-dimensional hyperbolic manifold N by the quotient space H 3 / Γ {\displaystyle \mathbb {H} ^{3}/\Gamma } where Γ {\displaystyle \Gamma } is a discrete subgroup of PSL(2,C). Here, the subgroup Γ {\displaystyle \Gamma } , a Kleinian group, is defined so that it is isomorphic to the fundamental group π 1 ( N ) {\displaystyle \pi _{1}(N)} of the surface N. Many authors use the terms Kleinian group and Kleinian model interchangeably, letting one stand for the other.