SOME PROPERTIES OF THE GRADIENT RICCI-YAMABE SOLITONS
JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, vol.74, pp.85-100, 2025 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 74
- Publication Date: 2025
- Doi Number: 10.7546/jgsp-74-2025-85-100
- Journal Name: JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Page Numbers: pp.85-100
- Istanbul University Affiliated: No
Abstract
In this work, we examine the conditions under which a compact gradient Ricci-Yamabe soliton is Einstein, that is, when the soliton is trivial. We then proceed to establish that a potential vector field is Killing whenever it is solenoidal. Furthermore, we investigate that a radially flat gradient Ricci-Yamabe soliton is rigid. Finally, we prove that a gradient Ricci-Yamabe soliton admits non-parallel, closed homothetic vector fields under certain conditions.