On compact super quasi-Einstein warped product with nonpositive scalar curvature

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.