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Results tagged with hyperbolic-geometry
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user 479962
5
votes
0
answers
170
views
Counterexamples to the Ahlfors measure conjecture in higher dimensions
Let $\Gamma<SO(3,1)$ be a finitely generated, discrete group of isometries of $\mathbb H^3$. By work of Agol, Calegari, Canary, and Gabai, the limit set of $\Gamma$ is either the entire sphere $S^2\co …
- 327
6
votes
1
answer
178
views
Does length spectrum determine a hyperbolic 3-manifold? What if we also know holonomies?
Question 1: Suppose that two hyperbolic 3-manifolds $M_1$ and $M_2$ with finitely generated fundamental group satisfy the property that for every closed geodesic in $M_1$, there is a closed geodesic i …
- 327