General natural metallic structure on tangent bundle

Document Type : Regular Paper

Author

Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran

Abstract

In this paper, ‌ we study the natural lifts type as complete and horizontal of a metallic structures on the tangent bundle of a Riemannian manifold and find some interesting results about structures, metric, distribution and the relationship between them. In the end, we introduce general natural lifts of a metallic structure and a semi-Riemannian manifold on the tangent bundle and get the conditions
under which the tangent bundle endowed with such a metallic structure and a general natural lifted metric is a Riemannian manifold.

Keywords

Main Subjects