Dehn Filling and Asymptotically Hyperbolic Einstein Manifolds

Details Dehn Filling and Asymptotically Hyperbolic Einstein Manifolds Dehn Filling and Asymptotically Hyperbolic Einstein Manifolds

2005-02-23

arxiv.org/abs/math/0502491v4

Communications in Analysis and Geometry, Volume 14, Number 4 (October 2006)

Mathematics

Differential Geometry

30 pages, part of author's thesis from SUNY Stony Brook. Updated version, some slight corrections

Scientific paper

In this article, we extend Anderson's higher-dimensional Dehn filling construction to a large class of infinite-volume hyperbolic manifolds. This gives an infinite family of topologically distinct asymptotically hyperbolic Einstein manifolds with the same conformal infinity. The construction involves finding a sequence of approximate solutions to the Einstein equations and then perturbing them to exact ones.

Affiliated with

Also associated with

No associations

Rating

Dehn Filling and Asymptotically Hyperbolic Einstein Manifolds 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 Dehn Filling and Asymptotically Hyperbolic Einstein Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dehn Filling and Asymptotically Hyperbolic Einstein Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-235485