Seminar
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Location: | MSRI: Simons Auditorium |
An almost-Fuchsian manifold is a quasi-Fuchsian manifold which contains an incompressible minimal surface with principal curvatures less than one everywhere. The topological entropy of the geodesic flow on the minimal surface defines a function on the space of almost-Fuchsian manifolds. We will explain how this function can be used to give a metric on Fuchsian space. Furthermore, we will also discuss the relationship between this entropy and the Hausdorff dimension of limit sets of quasi-Fuchsian groups.
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