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Results tagged with hyperbolic-geometry
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user 7894
7
votes
1
answer
175
views
Ergodicity of action of finite index subgroups in the boundary
Let $\Gamma < \operatorname{PSL}_2(\mathbb{R})= \text{Isom}^+(\mathbb{H^2})$ be a discrete subgroup. Suppose $\Gamma$ acts ergodically on the boundary of the hyperbolic plane $\partial{\mathbb{H}^2}$. …
- 12.3k
4
votes
3
answers
723
views
teichmuller geodesics and hyperbolic mapping torus
Given a pseudoanosov map $\phi$ of a surface $S$, there is a geodesic $\sigma$ in Teichmuller space (with the teichmuller metric) that is an axis for $\phi$, In other words, $\phi$ acts as a translati …
- 28.2k
4
votes
2
answers
338
views
Pseudoanosov mapping torus and length of curves.
Let $M_{\phi}$ be a hyperbolic mapping torus coming from a pseudo-Anosov map $\phi$ in a surface $S$. Is there any way to estimate the length of the geodesic representing a given curve in the surface …
- 28.2k