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\(E\)-Bochner curvature tensor on \((\kappa, \mu)\)-contact metric manifolds. (English) Zbl 1312.53051

Summary: We study the \(E\)-Bochner curvature tensor \(B^e\) satisfying \(R \cdot B^e = 0\), \(B^e \cdot R = 0\), \(B^e \cdot B^e = 0\) and \(B^e \cdot S = 0\) in \(n\)-dimensional \((\kappa, \mu)\)-contact metric manifolds.

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
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