Tagged Questions
2
votes
1answer
81 views
Lift of a homeomorphism $f$ between two (hyperbolic) surfaces $X,Y$
Let $X,Y$ be two hyperbolic Riemann surfaces (i.e. they have universal cover the upper half plane $\mathbb{H}$). Let $\pi_X:\mathbb{H}\to X, \pi_Y:\mathbb{H}\to Y $ be the corresponding covering maps. ...
1
vote
0answers
35 views
limit set of Kleinian grouos with closed manifolds as quotient
I'm trying to convince myself that if $M\cong\mathbb{H}^3/G$ is a closed hyperbolic 3-manifold then the limit set $\Lambda(G)$ equals the whole Riemann sphere $S_\infty^2$. My idea of the proof goes ...
1
vote
0answers
50 views
Relations between Kleinian groups and quotient manifolds
In some specific situation there are some nice relations between a Kleinian group and its quotient manifold. For example, if $G$ is a once-punctured-torus group (i.e. a free subgroup of ...
