Topological properties of manifolds admitting a $Y^x$-Riemannian metric

Vladimir Chernov, Paul Kinlaw, Rustam Sadykov

A complete Riemannian manifold $(M,g)$ is a $Y_l^x$-manifold if every unit speed geodesic $\gamma (t)$ originating at $\gamma (0)=x\in M$ satisfies $\gamma (l)=x$ for $0\ne l\in \mathbb{R}$. Bérard-Berger…