Generalized Ricci Solitons on Twisted Products

Mahdi Barari [1] , Asadollah Razavi [2]

15 22

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.


Ricci soliton, h-almost Ricci soliton, concurrent vector field, twisted product, warped product, Robertson-Walker space-time
  • [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].
Birincil Dil en
Konular Mühendislik
Dergi Bölümü Makaleler
Yazarlar

Yazar: Mahdi Barari

Yazar: Asadollah Razavi

Bibtex @araştırma makalesi { cankujse490306, journal = {Çankaya Üniversitesi Bilim ve Mühendislik Dergisi}, issn = {1309-6788}, eissn = {2564-7954}, address = {Çankaya Üniversitesi}, year = {2018}, volume = {15}, pages = { - }, doi = {}, title = {Generalized Ricci Solitons on Twisted Products}, key = {cite}, author = {Barari, Mahdi and Razavi, Asadollah} }
APA Barari, M , Razavi, A . (2018). Generalized Ricci Solitons on Twisted Products. Çankaya Üniversitesi Bilim ve Mühendislik Dergisi, 15 (2), . Retrieved from http://dergipark.gov.tr/cankujse/issue/40698/490306
MLA Barari, M , Razavi, A . "Generalized Ricci Solitons on Twisted Products". Çankaya Üniversitesi Bilim ve Mühendislik Dergisi 15 (2018): <http://dergipark.gov.tr/cankujse/issue/40698/490306>
Chicago Barari, M , Razavi, A . "Generalized Ricci Solitons on Twisted Products". Çankaya Üniversitesi Bilim ve Mühendislik Dergisi 15 (2018):
RIS TY - JOUR T1 - Generalized Ricci Solitons on Twisted Products AU - Mahdi Barari , Asadollah Razavi Y1 - 2018 PY - 2018 N1 - DO - T2 - Çankaya Üniversitesi Bilim ve Mühendislik Dergisi JF - Journal JO - JOR SP - EP - VL - 15 IS - 2 SN - 1309-6788-2564-7954 M3 - UR - Y2 - 2018 ER -
EndNote %0 Çankaya Üniversitesi Bilim ve Mühendislik Dergisi Generalized Ricci Solitons on Twisted Products %A Mahdi Barari , Asadollah Razavi %T Generalized Ricci Solitons on Twisted Products %D 2018 %J Çankaya Üniversitesi Bilim ve Mühendislik Dergisi %P 1309-6788-2564-7954 %V 15 %N 2 %R %U
ISNAD Barari, Mahdi , Razavi, Asadollah . "Generalized Ricci Solitons on Twisted Products". Çankaya Üniversitesi Bilim ve Mühendislik Dergisi 15 / 2 (Kasım 2018): -.