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Onreal hypersurfaces of a complex projective space with recurrent Riccitensor
Tatsuyoshi Hamada
Journal:

Glasgow Mathematical Journal / Volume 41 / Issue 3 / October 1999

Published online by Cambridge University Press:

01 October 1999, pp. 297-302

Print publication:

October 1999
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LetM be a real hypersurface of the complex projective spacePn(C). The Ricci tensor Sof M is recurrent if there exists a 1-form $\alpha$such that $\nablaS=S\otimes\alpha;$. In this paper we show that thereare no real hypersurfaces with recurrent Ricci tensor ofPn(C) under the condition that$\xi$ is a principal curvature vector.
1991 MathematicsSubject Classification 53C40(53C25).