CHARACTERIZING (ρ, τ)-QUASI-EINSTEIN SOLITONS IN THE FRAMEWORK OF SYNECTIC LIFT METRIC

Bilen L., GEZER A., Tombaş Ş.

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, cilt.2025, sa.1, ss.107-116, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2025 Sayı: 1
  • Basım Tarihi: 2025
  • Dergi Adı: UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.107-116
  • Anahtar Kelimeler: (ρ,τ)-quasi-Einstein soliton, synectic lift metric, tangent bundle
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we explore the structure of (ρ, τ)-quasi-Einstein solitons in relation to the synectic lift metric on the tangent bundle T M of a Riemannian manifold (M, g). Utilizing an adapted frame for our analysis, we investigate the necessary and sufficient conditions for the structures [Formula Presented] and [Formula Presented] to qualify as (ρ, τ)-quasi-Einstein solitons, where ˜g denotes the synectic lift metric on the tangent bundle T M.