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Dergiler / International Electronic Journal of Geometry / 2025 / Volume: 18 Issue: 2

Investigating the Interplay of Codazzi Couplings and Connections in Metallic-like Pseudo-Riemannian Manifolds

Buşra Aktaş(KIRIKKALE UNIVERSITY)0000-0002-1285-7250
Aydın Gezer(ATATURK UNIVERSITY)0000-0001-7505-0385
Olgun Durmaz(ERZURUM TECHNICAL UNIVERSITY)0000-0002-0913-3307
Sayfa
—
Yayın Tarihi
2025-10-19
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Collectively, our results offer a cohesive framework that clarifies the geometric and algebraic foundations of metallic-like pseudo-Riemannian manifolds, enhancing our understanding of their structure and properties.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we explore the characteristics of metallic-like pseudo-Riemannian manifolds that employ various linear connections.
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Temel Bulgular & Veri:Furthermore, we present significant equalities pertaining to the intrinsic properties of the manifolds, illustrating how these characteristics interact within a metallic-like context.
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Sonuç & Katkı:Collectively, our results offer a cohesive framework that clarifies the geometric and algebraic foundations of metallic-like pseudo-Riemannian manifolds, enhancing our understanding of their structure and properties.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Metallic-like pseudo-Riemannian manifolds · conjugate connections · Codazzi coupleds

Abstract

In this paper, we explore the characteristics of metallic-like pseudo-Riemannian manifolds that employ various linear connections. We establish a series of relationships regarding these connections, specifically examining the links between distinct types and their counterparts. Our findings reveal that a particular type of connection is associated with another if and only if its counterpart exhibits a corresponding relationship, and vice versa. Furthermore, we present significant equalities pertaining to the intrinsic properties of the manifolds, illustrating how these characteristics interact within a metallic-like context. We discuss the conditions required for a particular type of coupling, revealing significant connections between the properties of different associated connections. Additionally, we derive crucial equivalences that emphasise the relationship between torsion, statistical structures, and Codazzi coupling across various connections. Collectively, our results offer a cohesive framework that clarifies the geometric and algebraic foundations of metallic-like pseudo-Riemannian manifolds, enhancing our understanding of their structure and properties.

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Bu Makaleye Atıf Yap

Aktaş, B., Gezer, A., Durmaz, O. (2025). Investigating the Interplay of Codazzi Couplings and Connections in Metallic-like Pseudo-Riemannian Manifolds. International Electronic Journal of Geometry, Volume: 18 Issue: 2. https://doi.org/10.36890/iejg.1672080

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Kaynakça (23)

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