2 problems

Let $(G/H,g)$ be a geodesic orbit Riemannian space, let $\mathfrak{g}=\operatorname{Lie}(G)$, and let $X\in\mathfrak{g}$ be a Killing field of constant length. Define … where…

Dušek's affine-parameter conjecture. If $G/H$ is a geodesic orbit space or an almost geodesic orbit space, then the parameter of the one-parameter group whose orbit is a null geode…