대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제44권1호
  • /
  • Pages.195-202
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  • 2007
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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CHARACTERIZATIONS OF REAL HYPERSURFACES OF COMPLEX SPACE FORMS IN TERMS OF RICCI OPERATORS

  • Sohn, Woon-Ha (Department of Mathematics Hankuk University of Foreign Studies)
  • 발행 : 2007.02.28
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초록

We prove that a real hypersurface M in a complex space form Mn(c), $c{\neq}0$, whose Ricci operator and structure tensor commute each other on the holomorphic distribution and the Ricci operator is ${\eta}-parallel$, is a Hopf hypersurface. We also give a characterization of this hypersurface.

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참고문헌

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피인용 문헌

  1. The Ricci Operator and Shape Operator of Real Hypersurfaces in a Non-Flat 2-Dimensional Complex Space Form vol.03, pp.02, 2013, https://doi.org/10.4236/apm.2013.32036
  2. A study of real hypersurfaces with Ricci operators in 2-dimensional complex space forms vol.266, pp.2, 2013, https://doi.org/10.2140/pjm.2013.266.305