Two-step homogeneous geodesics in homogeneous spaces

Andreas Arvanitoyeorgos, Nikolaos Panagiotis Souris

We study geodesics of the form $\gamma (t)=\pi (\exp (tX)\exp (tY))$, $X,Y\in \fr{g}=\operatorname{Lie}(G)$, in homogeneous spaces $G/K$, where $\pi :G\to G/K$ is the natural projection.…