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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 11, Issue 2, August 2014 pp 97-99

Research Article

Sasakian Metric as Yamabe Soliton

Ankita Rai¹, Dhruwa Narain²

Department of Mathematics and Statistics, D.D.U. Gorakhpur University, Gorakhpur- 273009

Academic Editor: Dr. Dase R. K.

Linked References

• D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifold (Birkhauser, Boston (2010).
1. D. E. Blair, T. Koufogiorgos and R. Sharma, A classification of 3-dimensional contact metric manifold with Kodai Math. J.13 391-401, (1990).
2. B.Chow, P. Lu and L. Ni, Hamilton`s Ricci Flow, Graduates Studies in Mathematics, Vol. 77 ( American Mathematical Society, Science Press, 2006).
3. R. S. Hamilton, Lectures on geometric flow, unpublished manuscript (1989).
4. R. Sharma and D. E. Blair, Conformal motion of contact manifold with characteristic vector field in the k-nullity distribution, Illinois J. Math 40 553-563, (1996).
5. R. Sharma and A. Ghosh, Sasakian 3-manifold as a Ricci soliton represents the Heisenberg group, Int. J. Geom. Math. Mod. Phys. 8, 149-154, (2011).
6. S. Tanno, Note on infinitesimal transformation over contact manifold, Tohoku Math. J. 14, 416-430, (1962).
7. S. Tanno, Some transformation on manifold with almost contact and contact metric structures, Tohoku Math. J. 15, 140-147 (1963).
8. K. Yano, Integral formulas in Riemannian Geometry (Marcel Dekker, New Yark, 1970).
9. R. Sharma, A 3-dimensional Sasakian metric as a Yamabe soliton, Int. J. Geom. Math. Mod. Phys. vol. 9 no. 4, (5 pages), (2012).