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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-1-5, author = {Mehmet Akif Akyol and Aysel Turgut Vanli and Luis M. Fern\'andez}, title = {Curvature properties of a semi-symmetric metric connection on S-manifolds}, journal = {Annales Polonici Mathematici}, volume = {107}, year = {2013}, pages = {71-86}, zbl = {1263.53022}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-1-5} }
Mehmet Akif Akyol; Aysel Turgut Vanli; Luis M. Fernández. Curvature properties of a semi-symmetric metric connection on S-manifolds. Annales Polonici Mathematici, Tome 107 (2013) pp. 71-86. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-1-5/