Homological Dimension and Critical Exponent of Kleinian Groups
نویسندگان
چکیده
منابع مشابه
Homological Dimension and Critical Exponent of Kleinian Groups
We prove an inequality between the relative homological dimension of a Kleinian group Γ ⊂ Isom(Hn) and its critical exponent. As an application of this result we show that for a geometrically finite Kleinian group Γ, if the topological dimension of the limit set of Γ equals its Hausdorff dimension, then the limit set is a round sphere.
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2009
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-009-0705-z