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Results tagged with hyperbolic-geometry
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user 19689
0
votes
0
answers
118
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uniform properness of lifts of uniform proper maps
Let $(X,d)$ be a unique geodesic metric space and $Y\subseteq X$ a subset, equipped with the induced path metric $d'$. We say that the inclusion $i\colon Y\hookrightarrow X$ is uniformly proper if $\f …
- 213
4
votes
1
answer
546
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Pleated surfaces do not curl up too much
Hi!
Let $S$ be a hyperbolic surface with metric $\rho$ and $N$ a hyperbolic $3$-dimensional manifold with bounded geometry. Let $g\colon (S,\rho)\to N$ be an incompressible pleated surface, that is t …
- 28.2k