Curvature properties of a semi-symmetric metric connection on S-manifolds

Abstract

In this study, S-manifolds endowed with a semi-symmetric metric connection naturally related with the S-structure are considered and some curvature properties of such a connection are given. In particular, the conditions of semi-symmetry, Ricci semisymmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated. © Instytut Matematyczny PAN, 2013.