On quasi-Einstein manifolds with constant scalar curvature

In this article, we study quasi-Einstein manifolds with constant scalar curvature. We provide a classification of compact and noncompact (possibly with boundary) T-flat quasi-Einstein manifolds with constant scalar curvature, where the T-tensor is directly related to the Cotton and Weyl tensors. Moreover, we construct new explicit examples of noncompact quasi-Einstein manifolds. In addition, we prove a complete classification of compact and noncompact (possibly with boundary) 3-dimensional m-quasi-Einstein manifolds with constant scalar curvature.