Geodesic
Curvature properties of a semi-symmetric metric connection on $S$-manifolds
Mehmet Akif Akyol1 ; Aysel Turgut Vanli2 ; Luis M. Fernández3
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
Annales Polonici Mathematici, Tome 107 (2013) no. 1, pp. 71-86

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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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