Turkish Journal of Mathematics
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 $\tilde{M}^{n+1}.$
DOI
10.3906/mat-1807-72
Keywords
Polynomial structure, golden structure, metallic structure, almost quadratic $\phi $-structure
First Page
268
Last Page
278
Recommended Citation
GÖNÜL, S, ERKEN, İ. K, YAZLA, A, & MURATHAN, C (2019). A Neutral relation between metallic structure and almost quadratic $\phi $-structure. Turkish Journal of Mathematics 43 (1): 268-278. https://doi.org/10.3906/mat-1807-72
