Abstract
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.
Citation
Udo Hertrich-Jeromin. Klara Mundilova. Ekkehard-Heinrich Tjaden. "Channel Linear Weingarten Surfaces." J. Geom. Symmetry Phys. 40 25 - 33, 2015. https://doi.org/10.7546/jgsp-40-2015-25-33
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