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Abstract
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We consider three-dimensional real hypersurfaces in a nonflat
complex space form of complex dimension two with cyclic
-parallel
shape or Ricci operators and classify such hypersurfaces satisfying some other
geometric restrictions. Some results extend those of Ahn et al. (1993), Lim
et al. (2013), Kim et al. (2007) and Sohn (2007).
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Keywords
real hypersurface, complex space forms, cyclic
$\eta$-parallel, shape operator, Ricci operator
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Mathematical Subject Classification 2010
Primary: 53B25, 53D15
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Milestones
Received: 2 June 2018
Revised: 8 September 2018
Accepted: 15 February 2019
Published: 5 November 2019
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