Multi-black Holes and Earthquakes on Riemann Surfaces with Boundaries

@inproceedings{Bonsante2010MultiblackHA,
  title={Multi-black Holes and Earthquakes on Riemann Surfaces with Boundaries},
  author={Francesco Bonsante and Kirill V. Krasnov and Jean-Marc Schlenker},
  year={2010}
}
We prove an "Earthquake Theorem" for hyperbolic metrics with geodesic boundary on a compact surfaces $S$ with boundary: given two hyperbolic metrics with geodesic boundary on a surface with $k$ boundary components, there are $2^k$ right earthquakes transforming the first in the second. An alternative formulation arises by introducing the enhanced Teichmueller space of S: We prove that any two points of the latter are related by a unique right earthquake. The proof rests on the geometry of… CONTINUE READING

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