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Our aim in this paper is to study of silver Riemannian structures on manifold and bundle. An integrability condition and curvature properties for silver Riemannian structure are investigated via the Tachibana operator . After twin silver Riemannian metric is studied. Examples of silver structures are given on tangent and cotangent bundles

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In this study, the geodesics and torsion tensor according to g-lift of Riemannian connection  on cotangent bundle * are investigated. Firstly, using the components of g-lift of Riemannian connection  on cotangent bundle * the components of torsion tensor according to glift of Riemannian connection  are obtained. So the torsion tensor according to g-lift of Riemannian connection  are determined. Finally, geodesics on cotangent bundle * according to g-lift of Riemannian connection  are studied.