Einstein–Randers metrics on some homogeneous manifolds

Abstract

In this paper we get some new examples of non-Riemannian Einstein–Randers metrics on homogeneous manifolds G/H when G is either the compact simple Lie group F4 or G2. Based on the discussions associated with Kähler C-spaces, we obtain some new Einstein Riemannian metrics on some homogeneous manifolds and prove that they admit non-Riemannian Einstein–Randers metrics.