Homogeneous Einstein–Randers metrics on spheres

In this paper, we study the homogeneous Einstein–Randers metrics on spheres. It turns out that we can find out all the homogeneous non-Riemannian Einstein–Randers metrics on spheres. Furthermore, we obtain a complete classification of such metrics under isometries. Using this, we present a large number of homogeneous Einstein–Randers metrics of non-constant flag curvature.