Holomorphic families of isomorphisms of Möbius groups (Q1079701)
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scientific article; zbMATH DE number 3964354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Holomorphic families of isomorphisms of Möbius groups |
scientific article; zbMATH DE number 3964354 |
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Holomorphic families of isomorphisms of Möbius groups (English)
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1986
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In this paper the author reproves and sharpens a result of D. Sullivan showing that the members of an analytic family of isomorphic Kleinian groups are quasiconformally conjugate to one another. The proof uses a recent result of the author and H. S. Royden which characterises those quasiconformal mappings in a certain class having harmonic Beltrami coefficient.
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quasiconformal mappings
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Beltrami coefficient
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