Compact Riemannian Manifolds with Homogeneous Geodesics

D. V. Alekseevsky, Yu. G. Nikonorov

A homogeneous Riemannian space $(M=G/H,g)$ is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group $G$. We…