Capillary surfaces of constant mean curvature in a right solid cylinder (Q2922204)
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scientific article; zbMATH DE number 6353324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Capillary surfaces of constant mean curvature in a right solid cylinder |
scientific article; zbMATH DE number 6353324 |
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Capillary surfaces of constant mean curvature in a right solid cylinder (English)
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9 October 2014
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constant mean curvature
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Alexandrov reflection method
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capillary surface
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tangency principle
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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.
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