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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 6

A semisymmetric metric connection on almost contact B−metric manifolds

Şenay BULUT
Pages
2455–2465
Publication Date
2022-11-01
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Finally, we give some examples to considered manifolds with the semisymmetric connection.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The object of the present paper is to study a semisymmetric metric connection on an almost contact B−metric manifold.
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Key Findings & Data:We deduce a relation between the Levi–Civita connection and the semisymmetric metric connection on the considered manifold.
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Conclusion & Impact:Finally, we give some examples to considered manifolds with the semisymmetric connection.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The object of the present paper is to study a semisymmetric metric connection on an almost contact B−metric manifold. We deduce a relation between the Levi–Civita connection and the semisymmetric metric connection on the considered manifold. We determined the class of the torsion tensor corresponding to the semisymmetric connection. We study Ricci-like solitons on almost contact B−metric manifolds with the semisymmetric connection. Finally, we give some examples to considered manifolds with the semisymmetric connection.

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Cite This Article

BULUT, Ş. (2022). A semisymmetric metric connection on almost contact B−metric manifolds. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 6, 2455–2465. https://ajindex.com/articles/607408

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