Investigation of soliton structures on a tangent bundle with a semi-symmetric metric connection

GEZER A., Karakas E.

Asian-European Journal of Mathematics, cilt.18, sa.10, 2025 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 10
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s1793557125500391
  • Dergi Adı: Asian-European Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Complete lift metric, semi-symmetric metric connection, soliton, tangent bundle
  • Atatürk Üniversitesi Adresli: Evet

Özet

Let us consider TM as the tangent bundle of a (pseudo-)Riemannian manifold M equipped with a semi-symmetric metric connection ∇¯. The goal of this research paper is to establish the necessary and sufficient conditions for the tangent bundle TM to become a Ricci soliton, gradient Ricci soliton, Riemannian soliton and generalized Ricci-Yamabe soliton with regard to ∇¯.