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Article 2025 · 0 citations

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

Bilen, Lokman, Gezer, Aydin, Tombas, Seyma

Abstract

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.

Keywords
synectic lift metric tangent bundle rho, tau)-quasi-Einstein soliton G-NATURAL METRICS TANGENT BUNDLE
WoS Categories
Mathematics, Applied Physics, Multidisciplinary
Citation
Journal
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
Year
2025
Volume
87
Issue
1
Pages
107-116
ISSN
1223-7027
WoS UID
WOS:001444358700010