On the links between horocyclic and geodesic orbits on geometrically infinite surfaces
On the links between horocyclic and geodesic orbits on geometrically infinite surfaces
We study the intersection between an almost minimizing half-geodesic and the closure of the corresponding horocyclic orbit on a smooth geometrically infinite surface. We prove that if the half-geodesic goes through an infinite number of parts of the surface with injectivity radii bounded from above, then the intersection contains an …