Capillary surfaces of constant mean curvature in a right solid cylinder
type: Item
instance of: scholarly article
title: Capillary surfaces of constant mean curvature in a right solid cylinder
zbMATH Open document ID: 1304.53008
author: Rafael López
author: Juncheol Pyo
published in: Mathematische Nachrichten
publication date: 2014-10-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/1410.5757
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 49Q10
Mathematics Subject Classification ID: 76B45
Mathematics Subject Classification ID: 76D45
zbMATH DE Number: 6353324
zbMATH Keywords: constant mean curvature
zbMATH Keywords: Alexandrov reflection method
zbMATH Keywords: capillary surface
zbMATH Keywords: tangency principle
MaRDI profile type: Publication
OpenAlex ID: W2154220029
arXiv ID: 1410.5757
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DOI: 10.1002/MANA.201200301
review text: The present paper deals with the study of constant mean curvature surfaces that meet a right cylinder at a constant angle along the boundary. Assuming first that the surface lies inside the cylinder, the authors establish symmetry properties using the Alexandrov reflection method. In the case where the mean curvature is zero, they provide sufficient conditions to deduce that the surface is part of a plane or a catenoid. The proofs combine the tangency principle with related symmetry arguments.
reviewed by: Teodora-Liliana Rădulescu
description: scientific article; zbMATH DE number 6353324