Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Structure Eigenvectors of the Ricci Tensor in a Real Hypersurface of a Complex Projective Space

  • Li, Chunji (Institute of System Science, College of Sciences, Northeastern University) ;
  • Ki, U-Hang (Department of Mathematics, Kyungpook National University)
  • Received : 2005.03.10
  • Published : 2006.12.23
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Abstract

It is known that there are no real hypersurfaces with parallel Ricci tensor in a nonflat complex space form ([6], [9]). In this paper we investigate real hypersurfaces in a complex projective space $P_n\mathbb{C}$ using some conditions of the Ricci tensor S which are weaker than ${\nabla}S=0$. We characterize Hopf hypersurfaces of $P_n\mathbb{C}$.

Keywords

References

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