Intrinsic characterizations for complex hypercylinders and complex hyperspheres (Q760681)

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scientific article; zbMATH DE number 3884910
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Intrinsic characterizations for complex hypercylinders and complex hyperspheres
scientific article; zbMATH DE number 3884910

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    Intrinsic characterizations for complex hypercylinders and complex hyperspheres (English)
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    1984
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    This paper is a very important contribution to the classification of complex hypersurfaces in complex space forms. We quote from the summary of the authors: ''In terms of conditions on the curvature tensors of Riemann-Christoffel, Ricci, Weyl and Bochner we obtain several new characterizations of complex hyperspheres in complex projective spaces, of complex hypercylinders in complex Euclidean spaces and of complex hyperplanes in complex space forms''.
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    complex hypersurfaces
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    complex space forms
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    curvature tensors
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    complex hyperspheres
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    complex hypercylinders
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    complex hyperplanes
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