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- W1991362318 abstract "We show that a discrete, quasiconformal group preserving ℍ 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 ℍ n . This generalizes a result due separately to Sullivan and Tukia, in which it is further assumed that the group act isometrically on ℍ n , i.e. is a Kleinian group. From this generalization we are able to extract geometric information about infinite-index subgroups within certain of these groups." @default.
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- W1991362318 date "2004-02-01" @default.
- W1991362318 modified "2023-09-26" @default.
- W1991362318 title "Convergence Groups, Hausdorff Dimension, and a Theorem of Sullivan and Tukia" @default.
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- W1991362318 doi "https://doi.org/10.1023/b:geom.0000013844.35478.e5" @default.
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