RICCI SOLITONS IN KENMOTSU MANIFOLDS
Abstract
The Ricci Soliton is a natural generalization of an Einstein metric and is defined on a Riemannian manifold. In this paper we will find that the condition for Ricci Soliton in Kenmotsu manifolds to be Shrinking, Steady and Expanding.
Keywords: Bocnher Curvature tensor, Ricci tensor, Curvature tensor.
Downloads
References
S.Bochner, Curvature and Betti numbers II, Annals, of Mathematics, 50(2), 77-93, 2012
D.E. Blair, On the geometric meaning of the Bochner tensor, Geom., Dedicata, 4(1), 33-
,1975
B.Chow,P.Lu and L.Ni, Hamilton’s Ricci flow, vol. 77 of Graduate studies in Mathematics,
American Mathematical society,Providence, RI , USA , 2006.
C.S.Bagewadi and G.Ingalahalli,(2012): Ricci Solitons in Lorentzian α- Sasakian manifolds,
Acta Mathematica Academiae Paedagogicae Nyiregyha Ziensis, 28(1), 59-68.
C. Bejam, Livia and Crasmareanu Mircea , Ricci solitons in manifolds with Quasi- constant
curvature, Publ. Math Debrecen, 78(1), 235-243,2011.
B. Chow and D.Knopf (2004): The Ricci flow an introduction, Math. Surv. Monogr. , 110.
J.T.Cho , Almost contact 3- manifolds and Ricci Solitons, Inst, J. Geom. Methods Mod.
Phys, 10(1),2013
K. Kenmotsu, “A class of almost contact Riemannian Manifolds,â€The Tohoku Mathematical
Journal, vol. 24, pp. 93-103, 1972.
C. Calim and M. Crasmareanu , From the Eisenhart problem to Ricci Solitons in f- Kenmotsu
manifolds, Mathematical Science Society 33(3), 361- 368,2009.
D. Dileo and A.M.Pastore, Almost Kenmotsu manifold and nullity distributions, J. Geom.,
, 46 – 61, 2009
U.C. De, M. Turan ,A. Yildiz and A.De Ricci solitons and gradient Ricci solitons on three-
dimensional normal almost contact metric manifolds, Publ. Math. Debrecen, 80, 127 -142,2012
Downloads
Published
How to Cite
Issue
Section
License
Open Access: This is an open-access journal. All articles published in the Journal of Global Research in Mathematical Archives(JGRMA) are made immediately and permanently available under the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Authors retain the copyright of their work and grant Journal of Global Research in Mathematical Archives(JGRMA) the right of first publication. This license permits unrestricted use, distribution, adaptation, and reproduction in any medium or format, including commercial use, provided the original author(s), source, and license are properly acknowledged.
Google Scholar Indexed | DOI Enabled | OAI-PMH Compliant | Open Access Journal

