Original Article
Kyungpook Mathematical Journal 2006; 46(4): 463-476
Published online December 23, 2006
Copyright © Kyungpook Mathematical Journal.
Structure Eigenvectors of the Ricci Tensor in a Real Hypersurface of a Complex Projective Space
Chunji Li1, U-Hang Ki2
1Institute of System Science, College of Sciences, Northeastern University, Shenyang, 110-004, P. R. China
2Department of Mathematics, Kyungpook National University, Daegu, 702-701, Korea
It is known that there are no real hypersurfaces with parallel Ricci tensor in a nonflat complex space form (cite{Ki}, cite{KNS}). 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 $%
abla S=0.$ We characterize Hopf hypersurfaces of $P_{n}mathbb{C}$.
Keywords: real hypersurface, structure vector field, Ricci tensor, Hopf hypersurface