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.