Open Access
Article
A Characterization of Warped Product on Mixed Super quasi-Einstein Manifold
Arindam Bhattacharyyabhattachar1968@yahoo.co.inDepartment of MathematicsJadavpur University. s:Kolkata, 700032, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 07 Mar 2014
- Accepted:
- 29 Apr 2014
- Published Online:
- 08 Jul 2014
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2014.917828
- Pages:
- 29–39
Abstract
In this paper we investigate the expressions of the Ricci tensors and scalar curvatures of warped product manifold with respect to the bases and fibres when warped product manifold is a mixed super quasi-Einstein manifold. In some cases we give some obstructions to the existence of such manifolds and in the last section we give an example of warped product on mixed super quasi-Einstein manifold.
Keywords
Subject Classifications
: 53C25
References
- R.Deszcz, M.Glogowska, M.Hotlos, and Z.Senturk, On certain quasi-Einstein semi-symmetric hypersurfaces , Annales Univ. Sci. Budapest. Eotovos Sect. Math . 41 ( 1998 ), 151 – 164 .
- M.C.Chaki, On super quasi-Einstein manifolds , Publ. Math. Debrecen , 64 / 3-4 ( 2004 ), 481 – 488 .
- A.Bhattacharyya, M.Tarafdar and D.Debnath, On mixed super-quasi Einstein manifolds , Diff. Geom. - Dyn. Syst . 10 ( 2008 ), 44 – 57 .
- R.L.Bishop and B.O'Neill, Manifolds of negativve curvature , Trans. Amer. Math. Soc . 145 ( 1969 ), 1 – 49 .
- B.O'Neill, Semi-Riemannian Geometry with applications to relativity , Academic press , New York ( 1983 ).
- J.K.Beem and P.Ehrich, Lorentzian Geometry , Markel-Deccer Inc. , First Edition , New York ( 1981 ).
- A.L.Besse, Einstein manifolds , Springer-Verlag , Berlin-Heidelberg ( 1987 ).
Views: 62Downloads: 83Citations: 0
