Lindelöf's theorem for hyperbolic catenoids

• Autores: Pierre Bérard, Ricardo Sa Earp
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3657-3669
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10492-6
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• Resumen

  • 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.