Communications in Analysis and Geometry

Volume 14 (2006)

Number 4

Dehn filling and asymptotically hyperbolic Einstein manifolds

Pages: 725 – 764



Gordon Craig


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.

2010 Mathematics Subject Classification


Published 1 January 2006