Geodesic orbit Randers metrics in homogeneous bundles over generalized Stiefel manifolds

Abstract In this article, we study the geodesic orbit Randers spaces of the form (G / H, F) (G/H, F), such that G is one of the compact classical Lie groups SO ⁢ (n) {SO (n) }, SU ⁢ (n) {SU (n) }, Sp ⁢ (n) {Sp (n) }, and H is a diagonally embedded product H 1 × ⋯ × H s H₁ Hₒ, where H i H₈ is of the same type as G. Such spaces include spheres, Stiefel manifolds, Grassmann manifolds, and flag manifolds. The present work is a contribution to the study of geodesic orbit Randers spaces (G / H, F) (G/H, F) with H semisimple. We construct new examples of non-Riemannian Randers g. o. metrics in homogeneous bundles over generalized Stiefel manifolds which are not naturally reductive. Also, we obtain the specific expressions of these Randers g. o. metrics.