Curvature properties of a semi-symmetric metric connection on $S$-manifolds
Tom 107 / 2013
Annales Polonici Mathematici 107 (2013), 71-86
MSC: 53C05, 53C15, 53C25.
DOI: 10.4064/ap107-1-5
Streszczenie
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 semi-symmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated.