On Compact Super Quasi-Einstein Warped Product with Nonpositive Scalar Curvature
Sampa Pahan1, Buddhadev Pal2, and Arindam Bhattacharyya3
1,3Jadavpur University, Department of Mathematics Kolkata-700032, India
2Banaras Hindu University, Institute of Science, Department of Mathematics
Received August 24, 2015, revised September 27, 2016
This note deals with super quasi-Einstein warped product spaces. Here we establish that if M is a super quasi-Einstein warped product space with nonpositive scalar curvature and compact base, then M is simply a Riemannian product space. Next we give an example of super quasi-Einstein space-time. In the last section a warped product is defined on it.
Mathematics Subject Classification 2000: 53C20, 53B20.