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Quasiconformal deformations of complex hyperbolic p-Schottky groups

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In this paper, we generalize a Schottky group construction to complex hyperbolic space. In particular, we construct a fundamental domain whose sides consist of disjoint non-asymptotic packs for the action… Click to show full abstract

In this paper, we generalize a Schottky group construction to complex hyperbolic space. In particular, we construct a fundamental domain whose sides consist of disjoint non-asymptotic packs for the action of the Schottky group acting on complex hyperbolic space. Then we prove that a smooth deformation of such a Schottky group is quasiconformally stable.

Keywords: schottky group; deformations complex; quasiconformal deformations; schottky; complex hyperbolic; hyperbolic schottky

Journal Title: Geometriae Dedicata
Year Published: 2017

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