Convergence groups, Hausdorff dimension, and a Theorem of Sullivan and Tukia

We show that a discrete, quasiconformal group preserving Hopf n has the property that its exponent of convergence and the Hausdorff dimension of its limit set detect the existence of a non-empty regular set on the sphere at infinity to Hopf n. This generalizes a result due separately to Sullivan and...

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Bibliographic Details
Main Authors: Anderson, J.W (Author), Bonfert-Taylor, P. (Author), Taylor, E.C (Author)
Format: Article
Language:English
Published: 2004.
Subjects:
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