Gradient Schouten Solitons with Respect to the 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.
Keywords
References
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Details
Primary Language
English
Subjects
Algebraic and Differential Geometry
Journal Section
Research Article
Publication Date
March 29, 2026
Submission Date
January 7, 2025
Acceptance Date
August 15, 2025
Published in Issue
Year 1970 Volume: 75 Number: 1
APA
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, 75(1), 1-13. https://doi.org/10.31801/cfsuasmas.1615088
AMA
1.Gezer A, Bilen L. Gradient Schouten Solitons with Respect to the Sasaki Metric. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75(1):1-13. doi:10.31801/cfsuasmas.1615088
Chicago
Gezer, Aydın, and Lokman Bilen. 2026. “Gradient Schouten Solitons With Respect to the Sasaki Metric”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 (1): 1-13. https://doi.org/10.31801/cfsuasmas.1615088.
EndNote
Gezer A, Bilen L (March 1, 2026) Gradient Schouten Solitons with Respect to the Sasaki Metric. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 1 1–13.
IEEE
[1]A. Gezer and L. Bilen, “Gradient Schouten Solitons with Respect to the Sasaki Metric”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 75, no. 1, pp. 1–13, Mar. 2026, doi: 10.31801/cfsuasmas.1615088.
ISNAD
Gezer, Aydın - Bilen, Lokman. “Gradient Schouten Solitons With Respect to the Sasaki Metric”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75/1 (March 1, 2026): 1-13. https://doi.org/10.31801/cfsuasmas.1615088.
JAMA
1.Gezer A, Bilen L. Gradient Schouten Solitons with Respect to the Sasaki Metric. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75:1–13.
MLA
Gezer, Aydın, and Lokman Bilen. “Gradient Schouten Solitons With Respect to the Sasaki Metric”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 75, no. 1, Mar. 2026, pp. 1-13, doi:10.31801/cfsuasmas.1615088.
Vancouver
1.Aydın Gezer, Lokman Bilen. Gradient Schouten Solitons with Respect to the Sasaki Metric. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026 Mar. 1;75(1):1-13. doi:10.31801/cfsuasmas.1615088
