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Levi curvature with radial symmetry: a sphere theorem for bounded Reinhardt domains of \(\mathbb C^{2}\) - MaRDI portal

Levi curvature with radial symmetry: a sphere theorem for bounded Reinhardt domains of \(\mathbb C^{2}\) (Q624859)

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scientific article; zbMATH DE number 5849503
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Levi curvature with radial symmetry: a sphere theorem for bounded Reinhardt domains of \(\mathbb C^{2}\)
scientific article; zbMATH DE number 5849503

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    Levi curvature with radial symmetry: a sphere theorem for bounded Reinhardt domains of \(\mathbb C^{2}\) (English)
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    10 February 2011
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    Summary: We study bounded Reinhardt domains of \(\mathbb C^2\), whose Levi curvature depends on the distance from the origin. We prove that a radial decrease of the Levi curvature forces the domain to be a ball.
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    Reinhardt domain
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    Levi curvature
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