Open AccessA 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.