Homogeneous Einstein–Randers metrics on spheres Original Research Article

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.