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arXiv · 0907.4294

Lindel\"of's theorem for catenoids revisited

Pierre Bérard·Ricardo Sa Earp
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Abstract

In this paper we study the maximal stable domains on minimal catenoids in Euclidean and hyperbolic spaces and in $H^2 \times R$. 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.

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Pierre Bérard, Ricardo Sa Earp. 2009-07-24. Lindel\"of's theorem for catenoids revisited. https://doi.org/10.1090/s0002-9939-2010-10492-6

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