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Kleinian groups which are almost fuchsian

Francis Bonahon

math.DGarXiv:math/0210233

Abstract

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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