Conformal Geometric Solitons on the Tangent Bundle of a Statistical Manifold

GEZER A., Bilen L.

International Electronic Journal of Geometry, cilt.18, sa.1, ss.86-96, 2025 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.36890/iejg.1499698
  • Dergi Adı: International Electronic Journal of Geometry
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.86-96
  • Anahtar Kelimeler: Conformal soliton, statistical manifold., tangent bundle, twisted Sasaki metric
  • Atatürk Üniversitesi Adresli: Evet

Özet

Let (Mn,∇, g) denote a statistical manifold equipped with a torsion-free linear connection ∇ and a (pseudo-) Riemannian metric g. The tangent bundle TM of the statistical manifold (Mn,∇, g) is endowed with a twisted Sasaki metric, denoted as G. The objective of this paper is to explore conformal Ricci, conformal Yamabe, and conformal Ricci-Yamabe solitons on the tangent bundle TM concerning the twisted Sasaki metric G.