Abstract
In this paper we study invariant Einstein–Randers metrics on some homogeneous Riemannian manifolds of rank ≥ 2 . By finding out all the invariant Killing vector fields on the corresponding homogeneous Einstein Riemannian manifolds, we obtain a complete description of all the invariant Einstein–Randers metrics on those homogeneous manifolds. Since the underlying Riemannian Einstein metrics are generically not diagonal, this presents a large number of non-Riemannian homogeneous Einstein–Randers spaces of nonconstant flag curvature.
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