Ads Manifolds With Particles and Earthquakes on Singular Surfaces |
| |
Authors: | Francesco Bonsante Jean-Marc Schlenker |
| |
Institution: | (1) Università degli Studi di Pavia, Via Ferrata, 1, 27100 Pavia, Italy;(2) Institut de Mathématiques de Toulouse, UMR CNRS 5219, Université Toulouse III, 31062 Toulouse cedex 9, France |
| |
Abstract: | We prove two related results. The first is an “earthquake theorem” for closed hyperbolic surfaces with cone singularities
where the total angle is less than π: any two such metrics in are connected by a unique left earthquake. The second result
is that the space of “globally hyperbolic” AdS manifolds with “particles” – cone singularities (of given angle) along time-like
lines – is parametrized by the product of two copies of the Teichmüller space with some marked points (corresponding to the
cone singularities). The two statements are proved together.
F.B. was partially supported by the A.N.R. project GEODYCOS. J.-M.S. was partially supported by the A.N.R. programs RepSurf,
2006-09, ANR-06-BLAN-0311, GeomEinstein, 2006-09, 06-BLAN-0154, and FOG, 2007-10, ANR-07-BLAN-0251-01. |
| |
Keywords: | and phrases:" target="_blank"> and phrases: Earthquakes cone singularities AdS geometry |
本文献已被 SpringerLink 等数据库收录! |
|