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, pp.1-13, 2026 (ESCI, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 75 Issue: 1
- Publication Date: 2026
- Doi Number: 10.31801/cfsuasmas.1615088
- Journal Name: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.1-13
- Keywords: Sasaki metric, Schouten soliton, Tangent bundle
- Open Archive Collection: AVESIS Open Access Collection
- Ataturk University Affiliated: Yes
Abstract
In this paper, we investigate the gradient Schouten soliton structure on the tangent bundle TM of a Riemannian manifold endowed with the Sasaki metrics 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, λ) and (TM,S g,C f, λ) to define gradient Schouten solitons.