A. A. Shaikh and Kanak Kanti Baishya: Some results on LP-Sasakian manifolds, p.193-205

Abstract:

LP-Sasakian manifolds are studied. Among others it is proved that in a non-semisymmetric Ricci-generalized pseudosymmetric LP-Sasakian manifold, the scalar curvature is constant if and only if the timelike vector field $\xi$ is harmonic. LP-Sasakian manifolds admitting certain conditions on the Ricci tensor are studied and obtained several interesting results. Also $\phi$-conformally flat LP-Sasakian manifolds are studied.

Key Words: LP-Sasakian manifolds, Ricci-generalized pseudosymmetric manifolds, $\eta$-parallel Ricci tensor, $\phi$-conformally flat.

2000 Mathematics Subject Classification: Primary: 53C15,
Secondary 53C25.

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