Curvature properties of metric and semi-symmetric linear connections

Research Article

Curvature properties of metric and semi-symmetric linear connections

Published in: Quaestiones Mathematicae
Volume 45 , issue 10 , 2022 , pages: 1603–1627
DOI: 10.2989/16073606.2021.1966682
Author(s): Miloš Z. Petrović , Serbia , Nenad O. Vesić , Serbia , Milan Lj. Zlatanović , Serbia
Keywords: 53A45 , 53B05 , 53C05 , Non-symmetric connection , non-symmetric metric , generalized Riemannian space , torsion tensor , independent curvature tensors , semi-symmetric metric connection , Weyl curvature tensor , concircular curvature tensor
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Abstract

Considering a non-symmetric linear connection and its dual one appear 6 independent curvature tensors [15]. In the present paper we study properties of curvature tensors of semi-symmetric metric connections on a generalized Riemannian manifold.
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