AdS manifolds with particles and earthquakes on singular surfaces

Details AdS manifolds with particles and earthquakes on singular surfaces AdS manifolds with particles and earthquakes on singular surfaces

2006-09-04

arxiv.org/abs/math/0609116v2

Mathematics

Geometric Topology

18 pages, several figures. v2: improved exposition, several corrections

Scientific paper

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 $\pi$: 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 Teichm\"uller space with some marked points (corresponding to the cone singularities). The two statements are proved together.

Affiliated with

Also associated with

No associations

Rating

AdS manifolds with particles and earthquakes on singular surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with AdS manifolds with particles and earthquakes on singular surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and AdS manifolds with particles and earthquakes on singular surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-554936