Melek Aras
Abstract
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The purpose of this paper is to investigate the metric connection of the synectic metric S g and to compute the components R A DCB of the curvature tensor R of the metric connection of the synectic metric S g in the tangent bundle T (Mn) of the Riemannian manifold (Mn).
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The purpose of this paper is to investigate the metric connection of the synectic metric S g and to compute the components R A DCB of the curvature tensor R of the metric connection of the synectic metric S g in the tangent bundle T (Mn) of the Riemannian manifold (Mn).
Key concepts: Metric connection, Levi-Civita connection, Mathematics, Connection (principal bundle), Fundamental theorem of Riemannian geometry, Metric (unit), Tangent bundle, Fisher information metric