A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator

A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator

In this paper, it is proved that if a non-Hopf real hypersurface in a nonflat complex space form of complex dimension two satisfies Ki and Suh's condition (J. Korean Math. Soc., 32 (1995), 161–170), then it is locally congruent to a ruled hypersurface or a strongly 2-Hopf hypersurface. This ext...

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Bibliographic Details
Main Author: Wenjie Wang
Format: Article
Language:English
Published: AIMS Press 2021-11-01
Series:AIMS Mathematics
Subjects:
real hypersurface
complex space form
ruled hypersurface
lie derivative
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021813?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2021813?viewType=HTML

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