On a Class of Quasi-Einstein Finsler Metrics

In this paper, we introduce the notion of quasi-Einstein Finsler metric, which is a natural generalization of quasi-Einstein metric in Riemannian geometry. This is also a generalization of Einstein Finsler metrics. Then we study and characterize quasi-Einstein square metrics. Furthermore, we determine quasi-Einstein square metrics. Moreover, we prove that locally projectively flat quasi-Einstein square metrics on a manifold of dimension n >= 3 must be locally Minkowskian.