Parabolicity and hyperbolicity conditions for boundary elements of surfaces (Q1810014)
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scientific article; zbMATH DE number 1927816
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parabolicity and hyperbolicity conditions for boundary elements of surfaces |
scientific article; zbMATH DE number 1927816 |
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Parabolicity and hyperbolicity conditions for boundary elements of surfaces (English)
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15 June 2003
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The author proves some criteria for parabolicity and hyperbolicity of simple ends of surfaces without boundary. These criteria are formulated by means of the capacity distance. As is noted at the end of this paper the parabolicity and hyperbolicity remain invariant under \((r, \alpha)\)-quasiisometries.
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capacity distance
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end of a surface
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quasiisomorphism
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hyperbolic and parabolic elements
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