Open Access
2015 Channel Linear Weingarten Surfaces
Udo Hertrich-Jeromin, Klara Mundilova, Ekkehard-Heinrich Tjaden
J. Geom. Symmetry Phys. 40: 25-33 (2015). DOI: 10.7546/jgsp-40-2015-25-33


We demonstrate that every non-tubular channel linear Weingarten surface in Euclidean space is a surface of revolution, hence parallel to a catenoid or a rotational surface of non-zero constant Gauss curvature. We provide explicit parametrizations and deduce existence of complete hyperbolic linear Weingarten surfaces.


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Udo Hertrich-Jeromin. Klara Mundilova. Ekkehard-Heinrich Tjaden. "Channel Linear Weingarten Surfaces." J. Geom. Symmetry Phys. 40 25 - 33, 2015.


Published: 2015
First available in Project Euclid: 27 May 2017

zbMATH: 1348.53011
MathSciNet: MR3496356
Digital Object Identifier: 10.7546/jgsp-40-2015-25-33

Rights: Copyright © 2015 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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