A Neutral relation between metallic structure and almost quadratic $\phi $-structure

Authors: SİNEM GÖNÜL, İREM KÜPELİ ERKEN, AZİZ YAZLA, CENGİZHAN MURATHAN

Abstract: In this paper, we give a neutral relation between metallic structure and almost quadratic metric $\phi $-structure. Considering $N$ as a metallic Riemannian manifold, we show that the warped product manifold $\mathbb{R} \times _{f}N$ has an almost quadratic metric $\phi $-structure. We define Kenmotsu quadratic metric manifolds, which include cosymplectic quadratic manifolds when $\beta =0$. Then we give nice almost quadratic metric $\phi $-structure examples. In the last section, we construct a quadratic $\phi $-structure on the hypersurface $M^{n}$ of a locally metallic Riemannian manifold $\tilde{M}^{n+1}.$

Keywords: Polynomial structure, golden structure, metallic structure, almost quadratic $\phi $-structure

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