De, U. C.; Sengupta, Joydeep Quarter-symmetric metric connection on a Sasakian manifold. (English) Zbl 1025.53013 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 49, No. 1-2, 7-13 (2000). A linear metric connection on a Riemannian manifold \(M\) is called quarter-symmetric if its torsion tensor \(T\) satisfies \(T(X,Y) = \pi(Y)F(X) - \pi(X)F(Y)\) with some one-form \(\pi\) and \((1,1)\)-tensor field \(F\) on \(M\). The authors investigate the existence problem of quarter-symmetric metric connections and study curvature properties of such connections on Sasakian manifolds. Reviewer: Jürgen Berndt (Hull) Cited in 4 Documents MSC: 53C05 Connections (general theory) 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) Keywords:quarter-symmetric connections; curvature; Sasakian manifolds PDFBibTeX XMLCite \textit{U. C. De} and \textit{J. Sengupta}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 49, No. 1--2, 7--13 (2000; Zbl 1025.53013)