Sinem GÖNÜL, İrem Küpeli ERKEN, Aziz YAZLA, Cengizhan MURATHAN

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

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Öz 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 $\tilde{M}^{n+1}.$

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