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Onreal hypersurfaces of a complex projective space with recurrent Riccitensor
Published online by Cambridge University Press: 01 October 1999
Abstract
Let M be a real hypersurface of the complex projective space Pn(C). The Ricci tensor S of M is recurrent if there exists a 1-form $\alpha$ such that $\nablaS=S\otimes\alpha;$. In this paper we show that there are no real hypersurfaces with recurrent Ricci tensor of Pn(C) under the condition that $\xi$ is a principal curvature vector.
1991 Mathematics Subject Classification 53C40 (53C25).
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- Research Article
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- 1999 Glasgow Mathematical Journal Trust
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