, Volume 88, Issue 1-3, pp 211-237

On Kerckhoff Minima and Pleating Loci for Quasi-Fuchsian Groups

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Abstract

We show how Kerckhoff's results on minima of length functions on Teichmüller space can be used to analyse the possible bending loci of the boundary of the convex hull for quasi-Fuchsian groups near to the Fuchsian locus.