Resumen de Lindelöf's theorem for hyperbolic catenoids

Pierre Bérard, Ricardo Sa Earp

• In this paper, we study the maximal stable domains on minimal and constant mean curvature catenoids in hyperbolic space. In particular we investigate whether half-vertical catenoids are maximal stable domains (Lindelöf's property). Our motivation comes from Lindelöf's 1870 paper on catenoids in Euclidean space.