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Curvature surfaces of Hopf hypersurfaces in complex space forms

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Abstract

We study the principal curvatures of a Hopf hypersurfaceM in ℂP n or ℂH n. The respective eigenspaces of the shape operator often turn out to induce totally real foliations ofM, whose leaves are spherical in the ambient space. Finally we classify the Hopf hypersurfaces with three distinct principal curvatures satisfying a certain non-degeneracy condition.

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  1. Paulistr. 4, D-50933, Köln, Federal Republic of Germany

    Rolf Böning

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  1. Rolf Böning
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Böning, R. Curvature surfaces of Hopf hypersurfaces in complex space forms. Manuscripta Math 87, 449–458 (1995). https://doi.org/10.1007/BF02570486

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