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Journals / International Electronic Journal of Geometry / 2026 / Volume: 18 Issue: 1

Conformal Geometric Solitons on the Tangent Bundle of a Statistical Manifold

Lokman Bilen(IĞDIR ÜNİVERSİTESİ)0000-0001-8240-5359
Aydın Gezer(ATATURK UNIVERSITY, INSTITUTE OF SCIENCE)0000-0001-7505-0385
Pages
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Publication Date
2025-04-24
DOI
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AI Summary & Key Takeaways

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

The objective of this paper is to explore conformal Ricci, conformal Yamabe, and conformal Ricci-Yamabe solitons on the tangent bundle $TM$ concerning the twisted Sasaki metric $G$.

📌 3 Key Takeaways

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Objective & Hypothesis:Let $(M_{n},\nabla ,g)$ denote a statistical manifold equipped with a torsion-free linear connection $\nabla $ and a (pseudo-) Riemannian metric $%g $.
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Key Findings & Data:The tangent bundle $TM$ of the statistical manifold $(M_{n},\nabla ,g)$ is endowed with a twisted Sasaki metric, denoted as $G$.
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Conclusion & Impact:The objective of this paper is to explore conformal Ricci, conformal Yamabe, and conformal Ricci-Yamabe solitons on the tangent bundle $TM$ concerning the twisted Sasaki metric $G$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Conformal soliton · tangent bundle · twisted Sasaki metric

Abstract

Let $(M_{n},\nabla ,g)$ denote a statistical manifold equipped with a torsion-free linear connection $\nabla $ and a (pseudo-) Riemannian metric $%g $. The tangent bundle $TM$ of the statistical manifold $(M_{n},\nabla ,g)$ is endowed with a twisted Sasaki metric, denoted as $G$. The objective of this paper is to explore conformal Ricci, conformal Yamabe, and conformal Ricci-Yamabe solitons on the tangent bundle $TM$ concerning the twisted Sasaki metric $G$.

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Cite This Article

Bilen, L., Gezer, A. (2025). Conformal Geometric Solitons on the Tangent Bundle of a Statistical Manifold. International Electronic Journal of Geometry, Volume: 18 Issue: 1. https://ajindex.com/articles/1410937

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