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25 September 2022
 
  » arxiv » math/0610429

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Multi Black Holes and Earthquakes on Riemann surfaces with boundaries
Francesco Bonsante ; Kirill Krasnov ; Jean-Marc Schlenker ;
Date 13 Oct 2006
Subject Geometric Topology; Differential Geometry
AbstractWe prove an ``Earthquake Theorem’’ for hyperbolic metrics with geodesic boundary on a compact surfaces $S$ with boundary: the action of earthquakes on the enhanced Teichm"uller space of $S$ is simply transitive. 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.
Source arXiv, math/0610429
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