# 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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