2012Annales Polonici MathematiciOpen access

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

Mehmet Akif Akyol, Aysel Turgut Vanlı, Luis M. Fernández

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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 semi-s

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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-s

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Available 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 semi-s

Key concepts: Connection (principal bundle), Mathematics, Curvature, Curvature of Riemannian manifolds, Metric (unit), Metric connection, Ricci curvature, Symmetry (geometry)

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