On quasi-Einstein Weyl manifolds

Abstract

In this work, first, we define quasi-Einstein Weyl manifold which is one of the generalization of Einstein–Weyl manifold. Then, we prove its existence and construct an example. Moreover, we consider quasi-Einstein Weyl manifolds with semi-symmetric and Ricci-quarter symmetric connections. Finally, we examine conformal and generalized concircular mappings of quasi-Einstein Weyl manifolds and prove that quasi-Einstein Weyl manifolds are invariant under the generalized concircular mappings.