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Isoparametric hypersurfaces in \(CP^ n\) with constant principal curvatures - MaRDI portal

Isoparametric hypersurfaces in \(CP^ n\) with constant principal curvatures (Q1824879)

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scientific article; zbMATH DE number 4119157
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English
Isoparametric hypersurfaces in \(CP^ n\) with constant principal curvatures
scientific article; zbMATH DE number 4119157

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    Isoparametric hypersurfaces in \(CP^ n\) with constant principal curvatures (English)
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    1988
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    The number of distinct principal curvatures for such a hypersurface can only be 2, 3 or 5. The preimage under the Hopf fibration is isoparametric in the sphere with 2 or 4 distinct principal curvatures.
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    isoparametric hypersurface
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    principal curvatures
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    Hopf fibration
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