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Affine Kähler hypersurfaces satisfying certain conditions on the curvature tensor (Q756144)

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scientific article; zbMATH DE number 4190586
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English
Affine Kähler hypersurfaces satisfying certain conditions on the curvature tensor
scientific article; zbMATH DE number 4190586

    Statements

    Affine Kähler hypersurfaces satisfying certain conditions on the curvature tensor (English)
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    1991
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    This paper contains several results concerning the affine-Kähler geometry of complex hypersurfaces in \({\mathbb{C}}^ n\), a notion introduced in [\textit{K. Nomizu}, the reviewer and the author, Nagoya Math. J. 120, 205-222 (1990; Zbl 0701.53038)]. Hypersurfaces with parallel and symmetric Ricci tensor, as well as those with symmetric Ricci tensor and semiparallel curvature tensor are classified.
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    affine Kähler immersions
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    parallel and symmetric Ricci tensor
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    semiparallel curvature tensor
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