@article{article_1567074, title={SILVER STRUCTURES ON THE RIEMANN EXTENSIONS}, journal={Journal of Universal Mathematics}, volume={7}, pages={67–72}, year={2024}, DOI={10.33773/jum.1567074}, author={Ocak, Filiz and Meriç, Şemsi Eken}, keywords={Cotangent bundle, Riemannian extension, silver structure}, abstract={In the present paper we deal with an $n-$dimensional differentiable manifold $M$ with a torsion-free linear connection $\nabla $. Here we study some properties of a silver structure on the cotangent bundle ${T}^{* }M$ equipped with the Riemannian extension ${}^{R }\nabla$ and obtain a necessary condition for which the silver semi-Riemannian manifold $\left( {T}^{* }M{,}^{R }\nabla ,S \right)$ to be a locally decomposable.}, number={To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"}, publisher={Gökhan ÇUVALCIOĞLU}