Every geodesic loop on a closed hyperbolic surface lifts canonically to the unit tangent bundle and its complement is a three-manifold. Foulon and Hasselblatt showed that this three-manifold is ...

Complex hyperbolic geometry studies spaces that combine the rich structure of complex manifolds with the intriguing features of hyperbolic curvature. At its heart lies the complex hyperbolic space, a ...

Complex hyperbolic geometry investigates spaces that combine the subtleties of complex structures with non‐Euclidean, negatively curved metrics, offering rich terrain for both theoretical exploration ...

We show that the Hayman-Wu constant $\emptyset$ is strictly smaller than 4π. Previously it has been shown that $\pi^2 \leq \emptyset 4 \pi$. A main tool in our proof is an analysis of the hyperbolic ...