Semi-Symmetry Properties of $S$-Manifolds Admitting a Quarter-Symmetric Metric Connection

Authors : Aysel TURGUT VANLI

Pages : 38-47

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Publication Date : 2020-12-09

Article Type : Research Paper

Abstract :In this study $S$-manifolds admitting a quarter-symmetric metric connection naturally related with the $S$-structure are considered and some general results concerning the curvature of such a connection is given. In addition, we prove that an $S$-manifold has constant $f$-sectional curvature with respect to this quarter-symmetric metric connection if and only if has the same constant $f$-sectional curvature with respect to the Riemannian connection. In particular, the conditions of semi-symmetry, Ricci semi-symmetry, and projective semi-symmetry of this quarter-symmetric metric connection are investigated.
Keywords : S manifold, quarter symmetric metric connection, semi symmetry properties