LINDELOF'S THEOREM FOR HYPERBOLIC CATENOIDS

作者：Berard Pierre^*; Earp Ricardo Sa

来源：Proceedings of the American Mathematical Society, 2010, 138(10): 3657-3669.

In this paper, we study the maximal stable domains on minimal and constant mean curvature 1 catenoids in hyperbolic space. In particular we investigate whether half-vertical catenoids are maximal stable domains (Lindelof's property). Our motivation comes from Lindelof's 1870 paper on catenoids in Euclidean space.

• 出版日期2010-10