Ricci Solitons on Multiply Warped Product Manifolds

Abstract

In the last years, many researchers focused to Einstein metrics and some similar structures that are called Einstein type metrics. One of the most famous among these are Ricci solitons. On the besides this, there is a special interest on the relation between warped product manifolds and Ricci solitons. So, in this paper, we study Ricci solitons with the structure of multiply warped product manifolds. We also study Ricci solitons equipped with the concurrent vector fields on multiply warped product manifolds.