Öz
Kaynakça
- Ayar, G., 2022, Some curvature tensor relations on nearly cosymplectic manifolds with Tanaka-Webster connection, Universal Journal of Mathematics, 5(1), 24-31. google scholar
- Azami, S., Fasihi, G., 2023, Hyperbolic Ricci solitons on warped product manifolds, Filomat, 37(20), 6843-6853. google scholar
- Azami, S., Fasihi, G., Some characterizations of alpha-cosymplectic manifolds admitting hyperbolic Ricci solitons, 2024, preprint (10.13140/RG.2.2.35608.20480) google scholar
- Blaga, A., Özgür, C., 2023, Results of hyperbolic Ricci solitons, Symmetry, 15(8), 1548. google scholar
- Blair, D., 1976, Contact manifolds in Riemannian geometry, Lecture Notes in Math., 509, Springer-Verlag, Berlin. google scholar
- Faraji, H., Azami, S., Fasihi, G., 2023, Three dimensional homogenous hyperbolic Ricci solitons, Journal of Non-linear Mathematical Physics, 30(1), 135-155. google scholar
- Kong, D., Liu, K., 2007, Wave character of metrics and hyperbolic flow, J. Math. Phys., 48, 1-14. google scholar
- Nicola, A., Dileo, G., Yudin, I., 2018, On Nearly Sasakian and Nearly Cosymplectic Manifolds, Annali di Mat. 197(1), 127-138. google scholar
- Tanno, S., 1969, The automorphism groups of almost contact Riemannian manifolds, Tohoku Math. Journal, 21, 21-38. google scholar
Some characterizations of hyperbolic Ricci solitons on nearly cosymplectic manifolds with respect to the Tanaka-Webster connection
Öz
It is known that a hyperbolic Ricci soliton is one of the generalization of the Ricci solitons and it is a Riemannian manifold (𝑀, 𝑔) furnished with a differentiable vector field 𝑈 on 𝑀 and two real numbers 𝜆 and 𝜇 ensuring 𝑅𝑖𝑐 + 𝜆𝐿𝑈𝑔 + 1 2 𝐿𝑈 (𝐿𝑈𝑔) = 𝜇𝑔, where 𝐿𝑈 denotes the Lie derivative with respect to the vector field 𝑋 on 𝑀. Furthermore, hyperbolic Ricci solitons yield similar solutions to hyperbolic Ricci flow. In this paper, we study hyperbolic Ricci solitons on nearly cosymplectic manifolds endowed with the Tanaka-Webster connection. We give some results for these manifolds when the potential vector field is a pointwise collinear with the Reeb vector field and a concircular vector field.
Anahtar Kelimeler
hyperbolic Ricci soliton nearly cosymplectic manifold Tanaka Webster connection
Kaynakça
- Ayar, G., 2022, Some curvature tensor relations on nearly cosymplectic manifolds with Tanaka-Webster connection, Universal Journal of Mathematics, 5(1), 24-31. google scholar
- Azami, S., Fasihi, G., 2023, Hyperbolic Ricci solitons on warped product manifolds, Filomat, 37(20), 6843-6853. google scholar
- Azami, S., Fasihi, G., Some characterizations of alpha-cosymplectic manifolds admitting hyperbolic Ricci solitons, 2024, preprint (10.13140/RG.2.2.35608.20480) google scholar
- Blaga, A., Özgür, C., 2023, Results of hyperbolic Ricci solitons, Symmetry, 15(8), 1548. google scholar
- Blair, D., 1976, Contact manifolds in Riemannian geometry, Lecture Notes in Math., 509, Springer-Verlag, Berlin. google scholar
- Faraji, H., Azami, S., Fasihi, G., 2023, Three dimensional homogenous hyperbolic Ricci solitons, Journal of Non-linear Mathematical Physics, 30(1), 135-155. google scholar
- Kong, D., Liu, K., 2007, Wave character of metrics and hyperbolic flow, J. Math. Phys., 48, 1-14. google scholar
- Nicola, A., Dileo, G., Yudin, I., 2018, On Nearly Sasakian and Nearly Cosymplectic Manifolds, Annali di Mat. 197(1), 127-138. google scholar
- Tanno, S., 1969, The automorphism groups of almost contact Riemannian manifolds, Tohoku Math. Journal, 21, 21-38. google scholar
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Temel Matematik (Diğer) |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 25 Haziran 2024 |
| Gönderilme Tarihi | 29 Nisan 2024 |
| Kabul Tarihi | 15 Mayıs 2024 |
| Yayımlandığı Sayı | Yıl 2024 |