On Generalized Douglas-Weyl $(\alpha ,\beta )$-Metrics

A. Tayebi, H. Sadeghi

In this paper, we study generalized Douglas-Weyl $(\alpha ,\beta )$-metrics. Suppose that an regular $(\alpha ,\beta )$-metric $F$ is not of Randers type. We prove that $F$ is a generalized Douglas-We…