The visual core of a hyperbolic 3-manifold

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dc.creatorAnderson, James W.
dc.creatorCanary, Richard D.
dc.date1999-03-12
dc.date.accessioned2026-07-07T05:28:18Z
dc.date.available2026-07-07T05:28:18Z
dc.descriptionWe introduce the notion of the visual core of a hyperbolic 3-manifold N and explore its basic properties. The visual core can be thought of as a harmonic analysis analogue of the convex core. We investigate circumstances in which the visual core of a cover N' of N embeds under the covering map from N' to N. We apply this analysis to convergent sequences of Kleinian groups, in order to understand when the visual core of the algebraic limit manifold embeds in the geometric limit manifold. We close with a discussion of the behavior of the visual core under Klein-Maskit combination.
dc.identifierhttps://arxiv.org/abs/math/9903075
dc.identifierhttp://arxiv.org/abs/math/9903075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78212
dc.subjectGeometric Topology
dc.subject57M50, 30F40
dc.titleThe visual core of a hyperbolic 3-manifold
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