Strong convergence of Kleinian groups: the cracked eggshell
نویسندگان
چکیده
منابع مشابه
Hausdorff dimension and conformal dynamics I: Strong convergence of Kleinian groups
This paper investigates the behavior of the Hausdorff dimensions of the limit sets Λn and Λ of a sequence of Kleinian groups Γn → Γ, where M = H/Γ is geometrically finite. We show if Γn → Γ strongly, then: (a) Mn = H 3/Γn is geometrically finite for all n ≫ 0, (b) Λn → Λ in the Hausdorff topology, and (c) H. dim(Λn) → H. dim(Λ), if H. dim(Λ) ≥ 1. On the other hand, we give examples showing the ...
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2013
ISSN: 0010-2571
DOI: 10.4171/cmh/304