On P. J. Myrberg's approximation theorem for some Kleinian groups (Q1068242)
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scientific article; zbMATH DE number 3929402
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On P. J. Myrberg's approximation theorem for some Kleinian groups |
scientific article; zbMATH DE number 3929402 |
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On P. J. Myrberg's approximation theorem for some Kleinian groups (English)
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1985
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The aim of the paper under review is an elementary proof of the following version of Myrberg's approximation theorem for Kleinian groups: If \(\Gamma\) is a geometrically finite Kleinian group of the first kind acting on the unit ball, then all points of the unit sphere, except for a subset of Lebesgue measure zero, are transitive. An analogous result is proved for Schottky groups with Hausdorff measure instead of the Lebesgue measure.
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geodesic flow
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Kleinian groups
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transitive point
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Schottky groups
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Hausdorff measure
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Lebesgue measure
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