(1) Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha, Czech Republic;(2) Department of Geometry, Eötvös University, Rákóczi út 5, H–1088 Budapest, Hungary
Abstract:
It is proved that every homogeneous Riemannian manifold admits a geodesic which is an orbit of a one-parameter group of isometries.