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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 75 Issue: 1

Gradient Schouten Solitons with Respect to the Sasaki Metric

Aydın Gezer(ATATÜRK ÜNİVERSİTESİ)0000-0001-7505-0385
Lokman Bilen(IĞDIR ÜNİVERSİTESİ)0000-0001-8240-5359
Pages
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Publication Date
2026-03-29
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⚡ TL;DR(Too Long; Didn't Read)

We derive necessary and sufficient conditions for the quadruples $(TM, {}^{S}g, {}^{V}f, \lambda)$ and $(TM, {}^{S}g, {}^{C}f, \lambda)$ to define gradient Schouten solitons.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we investigate the gradient Schouten soliton structure on the tangent bundle $TM$ of a Riemannian manifold endowed with the Sasaki metric ${}^{S}g$.
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Key Findings & Data:The study is carried out with respect to an adapted frame.
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Conclusion & Impact:We derive necessary and sufficient conditions for the quadruples $(TM, {}^{S}g, {}^{V}f, \lambda)$ and $(TM, {}^{S}g, {}^{C}f, \lambda)$ to define gradient Schouten solitons.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Tangent bundle · Schouten soliton · Sasaki metric

Abstract

In this paper, we investigate the gradient Schouten soliton structure on the tangent bundle $TM$ of a Riemannian manifold endowed with the Sasaki metric ${}^{S}g$. The study is carried out with respect to an adapted frame. We derive necessary and sufficient conditions for the quadruples $(TM, {}^{S}g, {}^{V}f, \lambda)$ and $(TM, {}^{S}g, {}^{C}f, \lambda)$ to define gradient Schouten solitons.

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Cite This Article

Gezer, A., Bilen, L. (2026). Gradient Schouten Solitons with Respect to the Sasaki Metric. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 75 Issue: 1. https://doi.org/10.31801/cfsuasmas.1615088

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