Multi Black Holes and Earthquakes on Riemann Surfaces with Boundaries
نویسنده
چکیده
We prove an “Earthquake Theorem” for hyperbolic metrics with geodesic boundary on a compact surfaces S with boundary: any two points in the enhanced Teichmüller space of S are related by a unique right earthquake. The proof rests on the geometry of “multi-black holes”, which are 3-dimensional anti-de Sitter manifolds, topologically the product of a surface with boundary by an interval.
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