Gradient Weyl-Ricci Soliton
TURKISH JOURNAL OF MATHEMATICS, cilt.44, sa.4, ss.1137-1145, 2020 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 4
- Basım Tarihi: 2020
- Doi Numarası: 10.3906/mat-1906-63
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1137-1145
- İnönü Üniversitesi Adresli: Evet
Özet
The classical notion of gradient Ricci soliton is extended here to the gradient Weyl-Ricci soliton. A Weyl structure of the base manifold M is lifted to its tangent bundle TM, by using the Sasaki metric. We give some necessary and sufficient conditions such that the Weyl structure on TM to be a gradient Weyl-Ricci soliton.