De, Uday Chand; Samui, Srimayee \(E\)-Bochner curvature tensor on \((\kappa, \mu)\)-contact metric manifolds. (English) Zbl 1312.53051 Int. Electron. J. Geom. 7, No. 1, 143-153 (2014). 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. Cited in 5 Documents MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) Keywords:\((\kappa, \mu)\)-contact metric manifolds; \(N(k)\)-contact metric manifolds; extended Bochner curvature tensor; Einstein manifolds; \(\eta\)-Einstein manifolds; Sasakian manifolds PDFBibTeX XMLCite \textit{U. C. De} and \textit{S. Samui}, Int. Electron. J. Geom. 7, No. 1, 143--153 (2014; Zbl 1312.53051)