Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2024, Cilt: 2 Sayı: 1, 28 - 32, 25.06.2024
https://doi.org/10.26650/ijmath.2024.00012

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

Yıl 2024, Cilt: 2 Sayı: 1, 28 - 32, 25.06.2024
https://doi.org/10.26650/ijmath.2024.00012

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.

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
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Temel Matematik (Diğer)
Bölüm Araştırma Makalesi
Yazarlar

Murat Altunbaş 0000-0002-0371-9913

Yayımlanma Tarihi 25 Haziran 2024
Gönderilme Tarihi 29 Nisan 2024
Kabul Tarihi 15 Mayıs 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 2 Sayı: 1

Kaynak Göster

APA Altunbaş, M. (2024). Some characterizations of hyperbolic Ricci solitons on nearly cosymplectic manifolds with respect to the Tanaka-Webster connection. Istanbul Journal of Mathematics, 2(1), 28-32. https://doi.org/10.26650/ijmath.2024.00012
AMA Altunbaş M. Some characterizations of hyperbolic Ricci solitons on nearly cosymplectic manifolds with respect to the Tanaka-Webster connection. Istanbul Journal of Mathematics. Haziran 2024;2(1):28-32. doi:10.26650/ijmath.2024.00012
Chicago Altunbaş, Murat. “Some Characterizations of Hyperbolic Ricci Solitons on Nearly Cosymplectic Manifolds With Respect to the Tanaka-Webster Connection”. Istanbul Journal of Mathematics 2, sy. 1 (Haziran 2024): 28-32. https://doi.org/10.26650/ijmath.2024.00012.
EndNote Altunbaş M (01 Haziran 2024) Some characterizations of hyperbolic Ricci solitons on nearly cosymplectic manifolds with respect to the Tanaka-Webster connection. Istanbul Journal of Mathematics 2 1 28–32.
IEEE M. Altunbaş, “Some characterizations of hyperbolic Ricci solitons on nearly cosymplectic manifolds with respect to the Tanaka-Webster connection”, Istanbul Journal of Mathematics, c. 2, sy. 1, ss. 28–32, 2024, doi: 10.26650/ijmath.2024.00012.
ISNAD Altunbaş, Murat. “Some Characterizations of Hyperbolic Ricci Solitons on Nearly Cosymplectic Manifolds With Respect to the Tanaka-Webster Connection”. Istanbul Journal of Mathematics 2/1 (Haziran 2024), 28-32. https://doi.org/10.26650/ijmath.2024.00012.
JAMA Altunbaş M. Some characterizations of hyperbolic Ricci solitons on nearly cosymplectic manifolds with respect to the Tanaka-Webster connection. Istanbul Journal of Mathematics. 2024;2:28–32.
MLA Altunbaş, Murat. “Some Characterizations of Hyperbolic Ricci Solitons on Nearly Cosymplectic Manifolds With Respect to the Tanaka-Webster Connection”. Istanbul Journal of Mathematics, c. 2, sy. 1, 2024, ss. 28-32, doi:10.26650/ijmath.2024.00012.
Vancouver Altunbaş M. Some characterizations of hyperbolic Ricci solitons on nearly cosymplectic manifolds with respect to the Tanaka-Webster connection. Istanbul Journal of Mathematics. 2024;2(1):28-32.