An explicit counterexample to the equivariant $K=2$ conjecture
نویسندگان
چکیده
منابع مشابه
An Explicit Counterexample to the Equivariant K = 2 Conjecture
We construct an explicit example of a geometrically finite Kleinian group G with invariant component Ω in the Riemann sphere Ĉ such that any quasiconformal map from Ω to the boundary of the convex hull of Ĉ − Ω in H3 which extends to the identity map on their common boundary in Ĉ, and which is equivariant under the group of Möbius transformations preserving Ω, must have maximal dilatation K > 2...
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ژورنال
عنوان ژورنال: Conformal Geometry and Dynamics of the American Mathematical Society
سال: 2006
ISSN: 1088-4173
DOI: 10.1090/s1088-4173-06-00153-6