Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2018, Cilt: 15 Sayı: 2, - , 30.11.2018

Öz

Kaynakça

  • [1] A.L. Besse, Einstein Manifolds, Spring-Verlag, Berlin, (1987).
  • [2] H.D. Cao, Geometry of Ricci solitons, Chin. Ann. Math. Ser. B, 27(2), (2006), 121-142.
  • [3] H.D. Cao, Recent progress on Ricci solitons, arXiv:0908.2006v1.
  • [4] B.Y. Chen, Pseudo-Riemannian geometry, d-invariants and applications,World Scientific Publishing Co. Pte. Ltd,Usa, (2011).
  • [5] B.Y. Chen, SH. Deshmukh, Ricci solitons and concurrent vector fields, arXiv:1407.2790.
  • [6] S. Deshmukh, F.R. Al-Solamy, Conformal vector fields on a Riemannian manifold, Balkan Journal of Geometryand Its Applications, 19(2), (2014), 86-93.
  • [7] J.N. Gomes, Q. Wang, C. Xia, On the h-almost Ricci soliton. arXiv:1411.6416v2.
  • [8] R.S. Hamilton, Three manifolds with positive Ricci curvature, J. Diff. Geom., 17, (1982),255-306.
  • [9] R.S. Hamilton, The Ricci flow on surfaces, Contemporary Mathematics, 71, (1988), 237-261.
  • [10] B. O’Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press Limited, London,(1983).
  • [11] S. Pigola, M. Rigoli, M. Rimoldi, A.G. Setti, Ricci almost solitons, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 10,(2011), 757-799.
  • [12] M. Sanchez, Lorentzian manifolds admitting a Killing vector field, Nonlinear Analysis, 30, (1997), 643-654.
  • [13] S. Shenawy, Ricci solitons on warped product manifolds, arXiv:1508.02794.
  • [14] S. Shenawy B. Unal, 2-Killing vector fields on warped product manifolds, Int. J. Math, 26, (2015), [17 pages].

Generalized Ricci Solitons on Twisted Products

Yıl 2018, Cilt: 15 Sayı: 2, - , 30.11.2018

Öz

An h-almost Ricci soliton is a generalization of the Ricci soliton. In this paper we study Ricci solitons and h-almost Ricci solitons on twisted (and warped) product manifolds. First, we obtain some results about Ricci solitons on twisted products. Then we generalize them to h- almost Ricci solitons.


Kaynakça

  • [1] A.L. Besse, Einstein Manifolds, Spring-Verlag, Berlin, (1987).
  • [2] H.D. Cao, Geometry of Ricci solitons, Chin. Ann. Math. Ser. B, 27(2), (2006), 121-142.
  • [3] H.D. Cao, Recent progress on Ricci solitons, arXiv:0908.2006v1.
  • [4] B.Y. Chen, Pseudo-Riemannian geometry, d-invariants and applications,World Scientific Publishing Co. Pte. Ltd,Usa, (2011).
  • [5] B.Y. Chen, SH. Deshmukh, Ricci solitons and concurrent vector fields, arXiv:1407.2790.
  • [6] S. Deshmukh, F.R. Al-Solamy, Conformal vector fields on a Riemannian manifold, Balkan Journal of Geometryand Its Applications, 19(2), (2014), 86-93.
  • [7] J.N. Gomes, Q. Wang, C. Xia, On the h-almost Ricci soliton. arXiv:1411.6416v2.
  • [8] R.S. Hamilton, Three manifolds with positive Ricci curvature, J. Diff. Geom., 17, (1982),255-306.
  • [9] R.S. Hamilton, The Ricci flow on surfaces, Contemporary Mathematics, 71, (1988), 237-261.
  • [10] B. O’Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press Limited, London,(1983).
  • [11] S. Pigola, M. Rigoli, M. Rimoldi, A.G. Setti, Ricci almost solitons, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 10,(2011), 757-799.
  • [12] M. Sanchez, Lorentzian manifolds admitting a Killing vector field, Nonlinear Analysis, 30, (1997), 643-654.
  • [13] S. Shenawy, Ricci solitons on warped product manifolds, arXiv:1508.02794.
  • [14] S. Shenawy B. Unal, 2-Killing vector fields on warped product manifolds, Int. J. Math, 26, (2015), [17 pages].
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Mahdi Barari Bu kişi benim

Asadollah Razavi

Yayımlanma Tarihi 30 Kasım 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 15 Sayı: 2

Kaynak Göster

APA Barari, M., & Razavi, A. (2018). Generalized Ricci Solitons on Twisted Products. Cankaya University Journal of Science and Engineering, 15(2).
AMA Barari M, Razavi A. Generalized Ricci Solitons on Twisted Products. CUJSE. Kasım 2018;15(2).
Chicago Barari, Mahdi, ve Asadollah Razavi. “Generalized Ricci Solitons on Twisted Products”. Cankaya University Journal of Science and Engineering 15, sy. 2 (Kasım 2018).
EndNote Barari M, Razavi A (01 Kasım 2018) Generalized Ricci Solitons on Twisted Products. Cankaya University Journal of Science and Engineering 15 2
IEEE M. Barari ve A. Razavi, “Generalized Ricci Solitons on Twisted Products”, CUJSE, c. 15, sy. 2, 2018.
ISNAD Barari, Mahdi - Razavi, Asadollah. “Generalized Ricci Solitons on Twisted Products”. Cankaya University Journal of Science and Engineering 15/2 (Kasım 2018).
JAMA Barari M, Razavi A. Generalized Ricci Solitons on Twisted Products. CUJSE. 2018;15.
MLA Barari, Mahdi ve Asadollah Razavi. “Generalized Ricci Solitons on Twisted Products”. Cankaya University Journal of Science and Engineering, c. 15, sy. 2, 2018.
Vancouver Barari M, Razavi A. Generalized Ricci Solitons on Twisted Products. CUJSE. 2018;15(2).