Dehn Filling and Asymptotically Hyperbolic Einstein Manifolds
微分几何
2007-05-23 v4
摘要
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.
引用
@article{arxiv.math/0502491,
title = {Dehn Filling and Asymptotically Hyperbolic Einstein Manifolds},
author = {Gordon Craig},
journal= {arXiv preprint arXiv:math/0502491},
year = {2007}
}
备注
30 pages, part of author's thesis from SUNY Stony Brook. Updated version, some slight corrections