Gradient Schouten Solitons with Respect to the Sasaki Metric

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GEZER A., Bilen L.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, cilt.75, sa.1, ss.1-13, 2026 (ESCI, Scopus, TRDizin)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 75 Sayı: 1
• Basım Tarihi: 2026
• Doi Numarası: 10.31801/cfsuasmas.1615088
• Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.1-13
• Anahtar Kelimeler: Sasaki metric, Schouten soliton, Tangent bundle
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Atatürk Üniversitesi Adresli: Evet

Özet

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.