CHARACTERIZING<i> (ρ,</i><i> r</i>)-QUASI-EINSTEIN SOLITONS IN THE FRAMEWORK OF SYNECTIC LIFT METRIC

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Bilen L., GEZER A., Tombas S.

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, sa.1, ss.107-116, 2025 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2025
• Dergi Adı: UNIVERSITY POLITEHNICA OF BUCHAREST 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
• Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we explore the structure of (rho , tau)-quasi-Einstein solitons in relation to the synectic lift metric on the tangent bundle TM of a Riemannian manifold (M, g). Utilizing an adapted frame for our analysis, we investigate the necessary and sufficient conditions for the structures (TM, g, lambda, Vf) and (TM,g, lambda, Cf) to qualify as (rho , tau)-quasi-Einstein solitons, where g denotes the synectic lift metric on the tangent bundle TM.