A Neutral relation between metallic structure and almost quadratic φ-structure

Abstract

In this paper, we give a neutral relation between metallic structure and almost quadratic metric ϕ-structure. Considering N as a metallic Riemannian manifold, we show that the warped product manifold R ×f N has an almost quadratic metric ϕ-structure. We define Kenmotsu quadratic metric manifolds, which include cosymplectic quadratic manifolds when β = 0. Then we give nice almost quadratic metric ϕ-structure examples. In the last section, we construct a quadratic ϕ-structure on the hypersurface Mn of a locally metallic Riemannian manifold M˜ n+1 .