Lindelöf’s theorem for hyperbolic catenoids-Reference-Cited by-同舟云学术

Lindelöf’s theorem for hyperbolic catenoids

Published:2010-06-15 Issue:10 Volume:138 Page:3657-3669
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bérard Pierre,Sa Earp Ricardo

Abstract

In this paper, we study the maximal stable domains on minimal and constant mean curvature 1 1 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2010-138-10/S0002-9939-2010-10492-6/S0002-9939-2010-10492-6.pdf

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