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On a type of P-Sasakian manifold. (English) Zbl 1020.53029

The authors show: If a P-Sasakian manifold is Ricci-semi-symmetric, then it is Einstein; if it is semi-symmetric, then it has constant curvature. They also consider P-Sasakian manifolds which are hypersurfaces of a Riemannian manifold of constant curvature \(1\).

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
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