Ads Manifolds with Particles and Earthquakes on Singular Surfaces
نویسنده
چکیده
We prove an “Earthquake Theorem” for closed hyperbolic surfaces with cone singularities where the total angle is less than π: the action of the space of measured laminations on Teichmüller space by left earthquakes is simply transitive. This is strongly related to another result: the space of “globally hyperbolic” AdS manifolds with cone singularities (of given angle) along time-like geodesics is parametrized by the product of two copies of the Teichmüller space with some marked points (corresponding to the cone singularities).
منابع مشابه
Fixed Points of Compositions of Earthquakes
Let S be a closed surface of genus at least 2, and let λ and μ be two laminations that fill S. Let E r and E μ r be the right earthquakes on λ and μ respectively. We show that the composition E λ r ◦ E μ r has a fixed point in the Teichmüller space of S. Another way to state this result is that it is possible to prescribe any two measured laminations that fill a surfaces as the upper and lower ...
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تاریخ انتشار 2006