Limits of quasifuchsian groups with small bending

Simple item page
dc.creatorSeries, C.
dc.date2002-09-16
dc.date.accessioned2026-07-07T04:50:54Z
dc.date.available2026-07-07T04:50:54Z
dc.descriptionWe study limits of quasifuchsian groups for which the bending measures on the convex hull boundary tend to zero, giving necessary and sufficient conditions for the limit group to exist and be Fuchsian. As an application we complete the proof of a conjecture made in \cite{S1}, that the closure of pleating varieties for quasifuchsian groups meet Fuchsian space exactly in Kerckhoff's lines of minima of length functions. Doubling our examples gives rise to a large class of cone manifolds which degenerate to hyperbolic surfaces as the cone angles approach $2π$.
dc.descriptionLaTex, 36 pages
dc.identifierhttps://arxiv.org/abs/math/0209190
dc.identifierhttp://arxiv.org/abs/math/0209190
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64957
dc.subjectGeometric Topology
dc.subject30F40 20H10 32G15 Key words: Fuchsian, quasifuchsian, bending, Kerckhoff minima
dc.titleLimits of quasifuchsian groups with small bending
dc.typetext

Files

Collections

arXiv