In the last section, we construct a quadratic $\phi $-structure on the hypersurface $M^{n}$ of a locally metallic Riemannian manifold $\tilde{M}^{n+1}.$
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Öz In this paper, we give a neutral relation between metallic structure and almost quadratic metric $\phi $-structure.
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Temel Bulgular & Veri:We define Kenmotsu quadratic metric manifolds, which include cosymplectic quadratic manifolds when $\beta =0$.
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Sonuç & Katkı:In the last section, we construct a quadratic $\phi $-structure on the hypersurface $M^{n}$ of a locally metallic Riemannian manifold $\tilde{M}^{n+1}.$
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Anahtar Kelimeler Polynomial structure · golden structure · metallic structure
Özet
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 $\tilde{M}^{n+1}.$
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, Cilt: 43 - Sayı: 1, 268–278. https://ajindex.com/articles/215001