Lindel\"of's theorem for catenoids revisited
Differential Geometry
2010-07-12 v1
Abstract
In this paper we study the maximal stable domains on minimal catenoids in Euclidean and hyperbolic spaces and in . We in particular investigate whether half-vertical catenoids are maximal stable domains (\emph{Lindel\"of's property}). We also consider stable domains on catenoid-cousins in hyperbolic space. Our motivations come from Lindel\"of's 1870 paper on catenoids in Euclidean space.
Cite
@article{arxiv.0907.4294,
title = {Lindel\"of's theorem for catenoids revisited},
author = {Pierre Bérard and Ricardo Sa Earp},
journal= {arXiv preprint arXiv:0907.4294},
year = {2010}
}