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

Wenjie Wang | Zendy

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

Author(s) -

Wenjie Wang

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2021813

Subject(s) - hypersurface , mathematics , dimension (graph theory) , pure mathematics , complex space , space (punctuation) , operator (biology) , characterization (materials science) , derivative (finance) , mathematical analysis , physics , philosophy , chemistry , linguistics , biochemistry , repressor , transcription factor , financial economics , affine transformation , optics , economics , gene

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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