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 extends Ki and Suh's theorem to real hypersurfaces of dimension greater than or equal to three.
Citation: Wenjie Wang. A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator[J]. AIMS Mathematics, 2021, 6(12): 14054-14063. doi: 10.3934/math.2021813
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 extends Ki and Suh's theorem to real hypersurfaces of dimension greater than or equal to three.
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Wenjie Wang. A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator[J]. AIMS Mathematics, 2021, 6(12): 14054-14063. doi: 10.3934/math.2021813
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