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On a class of Sasakian manifolds. (English) Zbl 1165.53028

Let \(M\) be a Bochner-pseudosymmetric Sasakian manifold of dimension \(\geq5\), that is, for the (contact) Bochner curvature tensor \(B\) holds \(R(X,Y)\cdot B=L(X\wedge Y)\cdot B\). It is proved that than at each point \(p\in M\), \(L_p=0\) or \(B_p=0\).

MSC:

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