α - Sasakian Manifolds Admitting Ricci Soliton
Author Affiliations
- 1Department of Mathematics and Statistics, D.D.U. Gorakhpur University, Gorakhpur- 273009, INDIA
- 2Department of Mathematics and Statistics, D.D.U. Gorakhpur University, Gorakhpur- 273009, INDIA
Res. J. Mathematical & Statistical Sci., Volume 2, Issue (7), Pages 1-3, July,12 (2014)
Abstract
In this paper we study -Einstein -Sasakian manifolds admitting Ricci soliton.
References
- Hamilton R.S., The Ricci flow on the surface, Mathematics and general relativity (santa Cruz, CA,1986), 237-262, Contemp. Math. 71, AmericanMathematical society, (1988)
- Perelman G., The entropy formula for the Ricci flow andits geometry application, (preprint). arXiv.org/abs/math.DG/02111159.
- Chow B. and Knopf D., The Ricci flow: An Introduction,Mathematical Surveys and Monographs 110, AmericanMath. Sco., (2004)
- Derdzinski A., Compact Ricci Soliton, Preprint (2008)
- Yano K. and Kon M., Structure on manifold, Series ofPure Mathematics, 3, Word Scientific Pub. Co., Singapore(1984)
- Zhang X., A note on Sasakian metric with constant scalarcurvature, J. Math. Phys., 50, 103505, 1-11 (2009)
- Sharma R., Ghosh A., A Sasakian 3-manifold as a Riccisoliton represent a Heisenberg group, Int. J. Geom.Methods Mod. Phy., 8, 149-154 (2011)
- Blair D.E., Riemannian geometry of contact andsymplectic manifold, Prog. Math., 203, Birkhauser, Besel(2002)
- Yano K., Integral formula in Riemannian geometry, Marcel Dekker, New Yark (1970)
- Duggal K.L. and Sharma R., Symmetries of spacetimesand Riemannian manifold, Kluwer, Dordrecht (1999)
- Ghosh A., Sharma R. and Cho J.T., Contact metricmanifold with η-parallel torsion tensor, Ann. Glob. Anal.Geo., 34, 287-299 (2008)
- Tanno S., Promenades on spheres, Lecture note, TokyoInstitute of Technology, Tokyo (1996)
- Blair D.E., Koufoguiorgos T. and Papantoniou B.J., Contact metric manifold satisfying a nullity condition, Israel J. Math., 91, 189-214 (1995)
- Carriazo A., Blair D.E. and Alegre P., On generalizedSasakian-space-forms, Proceeding of the NinthInternational Workshop on Diff. Geom. 9, 31-39 (2005)
- Ghosh A. and Sharma R., K-contact metrics as Ricci solitons, Beitr Algebra Geom., DOI 10,1007/s13366-011-0038-6 springer (2012)