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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

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

Cengizhan MURATHAN
Sinem GÖNÜL
İrem KÜPELİ ERKEN
Aziz YAYLA
Pages
268–278
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In the last section, weconstruct a quadratic ϕ-structure on the hypersurface $M^n$ of a locally metallic Riemannian manifold $M^{n+1}$

📌 3 Key Takeaways

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Objective & Hypothesis: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 almostquadratic metric ϕ-structure.
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Key Findings & Data:We define Kenmotsu quadratic metric manifolds, which include cosymplectic quadraticmanifolds when $beta=0$.
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Conclusion & Impact:In the last section, weconstruct a quadratic ϕ-structure on the hypersurface $M^n$ of a locally metallic Riemannian manifold $M^{n+1}$
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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 almostquadratic metric ϕ-structure. We define Kenmotsu quadratic metric manifolds, which include cosymplectic quadraticmanifolds when $beta=0$. Then we give nice almost quadratic metric ϕ-structure examples. In the last section, weconstruct a quadratic ϕ-structure on the hypersurface $M^n$ of a locally metallic Riemannian manifold $M^{n+1}$

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Cite This Article

MURATHAN, C., GÖNÜL, S., ERKEN, İ. K., YAYLA, A. (2022). A Neutral relation between metallic structure and almost quadratic ϕ-structure. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 268–278. https://ajindex.com/articles/608072

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