Homogeneous hyperbolic manifolds and homogeneous Siegel domains (Q1070086)
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scientific article; zbMATH DE number 3933488
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homogeneous hyperbolic manifolds and homogeneous Siegel domains |
scientific article; zbMATH DE number 3933488 |
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Homogeneous hyperbolic manifolds and homogeneous Siegel domains (English)
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1985
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It is proved that a hyperbolic manifold admitting a transitive action of a Lie group is isomorphic to a homogeneous Siegel domain of second kind. As a consequence such a manifold is biholomorphic to a bounded homogeneous domain. This solves a problem posed by \textit{S. Kobayashi} in ''Hyperbolic manifolds and holomorphic mapping'' (1970; Zbl 0207.379).
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homogeneous hyperbolic manifold
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homogeneous Siegel domain of second kind
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bounded homogeneous domain
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