Curvature surfaces of Hopf hypersurfaces in complex space forms |
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Authors: | Rolf Böning |
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Institution: | 1. Paulistr. 4, D-50933, K?ln, Federal Republic of Germany
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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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Keywords: | |
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