SILVER STRUCTURES ON THE RIEMANN EXTENSIONS

Year 2024, Volume: 7 Issue: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 67 - 72, 29.12.2024

Filiz Ocak , Şemsi Eken Meriç

https://doi.org/10.33773/jum.1567074

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.

Keywords

Cotangent bundle, Riemannian extension, silver structure

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