Geodesic
Curvature properties of a semi-symmetric metric connection on $S$-manifolds
Mehmet Akif Akyol1 ; Aysel Turgut Vanli2 ; Luis M. Fernández3
1Department of Mathematics Faculty of Arts and Sciences Bingol University 12000 Bingöl, Turkey
2Department of Mathematics Faculty of Arts and Sciences Gazi University 06500 Ankara, Turkey
3Departmento de Geometría y Topología Facultad de Matemáticas Universidad de Sevilla Apartado de Correos 1160 41080 Sevilla, Spain
Annales Polonici Mathematici, Tome 107 (2013) no. 1, pp. 71-86
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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.
DOI : 10.4064/ap107-1-5
Keywords: study s manifolds endowed semi symmetric metric connection naturally related s structure considered curvature properties connection given particular conditions semi symmetry ricci semi symmetry ricci projective semi symmetry semi symmetric metric connection investigated

Mehmet Akif Akyol  1   ; Aysel Turgut Vanli  2   ; Luis M. Fernández  3

1 Department of Mathematics Faculty of Arts and Sciences Bingol University 12000 Bingöl, Turkey
2 Department of Mathematics Faculty of Arts and Sciences Gazi University 06500 Ankara, Turkey
3 Departmento de Geometría y Topología Facultad de Matemáticas Universidad de Sevilla Apartado de Correos 1160 41080 Sevilla, Spain 
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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) no. 1, pp. 71-86. doi: 10.4064/ap107-1-5

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