- International Electronic Journal of Geometry
- Vol: 16 Issue: 1
- Metallic Riemannian Structures on the Tangent Bundles of Riemannian Manifolds with $g-$Natural Metri...
Metallic Riemannian Structures on the Tangent Bundles of Riemannian Manifolds with $g-$Natural Metrics
Authors : Murat Altunbaş
Pages : 95-103
Doi:10.36890/iejg.1145729
View : 6 | Download : 2
Publication Date : 2023-04-30
Article Type : Research
Abstract :Let $(M,g)$ be a Riemannian manifold and $(TM,\\tilde{g})$ be its tangent bundle with the $g-$natural metric. In this paper, a family of metallic Riemannian structures $J$ is constructed on $TM,$ found conditions under which these structures are integrable. It is proved that $(TM,\\tilde{g},J)$ is decomposable if and only if $(M,g)$ is flat.Keywords : g-natural metric, metallic Riemannian structure, tangent bundle