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On Characterizations of Real Hypersurfaces in a Complex Space Form with $\eta$-Parallel Shape Operator

  Published:2011-03-10
 Printed: Mar 2012
  • S. H. Kon,
    Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia.
  • Tee-How Loo,
    Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia.
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Abstract

In this paper we study real hypersurfaces in a non-flat complex space form with $\eta$-parallel shape operator. Several partial characterizations of these real hypersurfaces are obtained.
Keywords: complex space form, Hopf hypersurfaces, ruled real hypersurfaces, $\eta$-parallel shape operator complex space form, Hopf hypersurfaces, ruled real hypersurfaces, $\eta$-parallel shape operator
MSC Classifications: 53C40, 53C15 show english descriptions Global submanifolds [See also 53B25]
General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C40 - Global submanifolds [See also 53B25]
53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)
 

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