On Randers geodesic orbit spaces

Abstract

In this paper, we consider invariant Randers g.o. metrics on compact homogeneous spaces. In particular, we obtain a concrete characterization of the corresponding navigation datas of these metrics. As an application, we discuss all invariant Randers g.o. metrics on compact homogeneous spaces with two isotropy summands and compact homogeneous spaces with simple isotropy subgroups, which provide a large number of new examples of Finsler g.o. spaces.