3 problems

Let $P$ be a convex polyhedron. A simple closed geodesic is a simple closed geodesic on the surface of $P$, and a simple closed quasigeodesic through exactly one vertex is a simple…

Let $G$ be a non-hyperbolic finitely generated group with generating set $S$, and let $\Gamma(G,S)$ be its Cayley graph. A word is a $(\lambda,\epsilon)$-quasigeodesic when it sati…

Let $M$ be a closed $3$-manifold that is a graph-manifold, and let $\phi^t$ be an $\mathbb R$-covered Anosov flow, meaning that its stable, equivalently unstable, foliation lifts t…