Dehn Filling and Asymptotically Hyperbolic Einstein Manifolds

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dc.creatorCraig, Gordon
dc.date2005-02-23
dc.date2006-04-04
dc.date.accessioned2026-07-07T06:39:28Z
dc.date.available2026-07-07T06:39:28Z
dc.descriptionIn 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.
dc.description30 pages, part of author's thesis from SUNY Stony Brook. Updated version, some slight corrections
dc.identifierhttps://arxiv.org/abs/math/0502491
dc.identifierhttp://arxiv.org/abs/math/0502491
dc.identifierCommunications in Analysis and Geometry, Volume 14, Number 4 (October 2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101090
dc.subjectDifferential Geometry
dc.subject53C25, 58J60 (Primary) 53C21, 58D17 (Secondary)
dc.titleDehn Filling and Asymptotically Hyperbolic Einstein Manifolds
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