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On half-homogeneous hyperbolic manifolds and Siegel domains - MaRDI portal

On half-homogeneous hyperbolic manifolds and Siegel domains (Q1065211)

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scientific article; zbMATH DE number 3920954
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English
On half-homogeneous hyperbolic manifolds and Siegel domains
scientific article; zbMATH DE number 3920954

    Statements

    On half-homogeneous hyperbolic manifolds and Siegel domains (English)
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    1984
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    The author poses the problem of characterizing those complex manifolds among bounded domains or hyperbolic manifolds, which are isomorphic to Siegel domains of second kind due to Pyatetski-Shapiro. In particular he proves that a homogeneous hyperbolic manifold is biholomorphic to a bounded domain if and only if certain conditions are satisfied.
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    Siegel domains of second kind
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    homogeneous hyperbolic manifold
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    bounded domain
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