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Dehn Filling and Asymptotically Hyperbolic Einstein Manifolds

Gordon Craig
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Abstract

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.

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Gordon Craig. 2006-04-04. Dehn Filling and Asymptotically Hyperbolic Einstein Manifolds. https://arxiv.org/abs/math/0502491

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