SOME PROPERTIES OF THE GRADIENT RICCI-YAMABE SOLITONS
JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, cilt.74, ss.85-100, 2025 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 74
- Basım Tarihi: 2025
- Doi Numarası: 10.7546/jgsp-74-2025-85-100
- Dergi Adı: JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.85-100
- İstanbul Üniversitesi Adresli: Hayır
Özet
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.