Kleinian groups which are almost fuchsian

Mathematics – Differential Geometry

Scientific paper

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AmsLaTeX file, 12 pages

Scientific paper

We consider the space of all quasifuchsian metrics on the product of a
surface with the real line. We show that, in a neighborhood of the submanifold
consisting of fuchsian metrics, every non-fuchsian metric is completely
determined by the bending data of its convex core.

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