Submersion on Statistical Metallic Structure

In the present chapter we define and analyze the properties of metallic structure, i.e., polynomial structures with the polynomial Q(J) = \(J^2\) - aJ - bI, on manifolds using the metallic ratio, which is a generalization of the Golden proportion. We further discuss statistical metallic manifolds and statistical submersions, and we study Riemannian submersion. Also, we give some properties of the metallic Riemannian metric and statistical submersion of the metallic structure.