NOTE ON REAL HYPERSURFACES OF NONFLAT COMPLEX SPACE FORMS IN TERMS OF THE STRUCTURE JACOBI OPERATOR AND RICCI TENSOR

  • KIM, NAM-GIL (Department of Mathematics Chosun University) ;
  • LI, CHUNJI (Institute of System Science College of Sciences, Northeastern University) ;
  • KI, U-HANG (Department of Mathematics Kyungpook National University)
  • 투고 : 2005.04.21
  • 발행 : 2005.09.25

초록

Let M be a real hypersurface with almost contact metric structure (${\phi}$, ${\xi}$, ${\eta}$, g) in a nonflat complex space form $M_n(c)$. We denote by A and S be the shape operator and the Ricci tensor of M respectively. In the present paper we investigate real hypersurfaces with $g(SA{\xi},\;A{\xi})=const$. of $M_n(c)$ whose structure Jacobi operator $R_{\xi}$ commute with both ${\phi}$ and S. We give a characterization of Hopf hypersurfaces of $M_n(c)$.

키워드

참고문헌

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