Bounded smooth strictly plurisubharmonic exhaustion functions on Teichmüller spaces (Q1429233)

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scientific article; zbMATH DE number 2064166
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Bounded smooth strictly plurisubharmonic exhaustion functions on Teichmüller spaces
scientific article; zbMATH DE number 2064166

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    Bounded smooth strictly plurisubharmonic exhaustion functions on Teichmüller spaces (English)
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    18 May 2004
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    Let \(\tau_{g,n}\) be the Teichmüller space of finite Riemann surfaces of genus \(g\) with \(n\) punctures. The author constructs a smooth bounded strictly plurisubharmonic exhaustion function on \(\tau_{g,n}\). Some geometric consequences follow this interesting construction.
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    Riemann surface
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    Teichmüller space
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    moduli space
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    length function
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    Kähler metric
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    Hermitian metric
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    Bergman metric
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