Existence of Metrics with Prescribed Scalar Curvature on the Volume   Element Preserving Deformation
  In this paper,we obtain two results on closed Reimainnian manifold $M\times [0,T]$.When $T$ is small enough,to any prescribed scalar curvature, the existence and uniqueness of metrics are obtained on the volume element preserving deformation.When $T$ is large and the given scalar curvature is small enough,the same result holds. 
Zhi-Zhang Wang