Curvature properties of metallic Riemannian Manifolds

In this thesis, we study the basics of metallic structure, which is polynomial structure with structure polynomial on manifolds using metallic ratio, which is the generalization of Golden proportion or golden ratio. We study some mathematical terminologies, study some theorems and proof where possible of the metallic structures. We also study some examples of metallic structure. Also, we study some properties of the metallic Riemannian metric. Hence, study the J-sectional and J- Bisectional curvature of metallic Riemannian manifold.