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arXiv · 1507.03394

Channel linear Weingarten surfaces

U. Hertrich-Jeromin·K. Mundilova·E. -H. Tjaden
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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.

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U. Hertrich-Jeromin, K. Mundilova, E. -H. Tjaden. 2015-07-13. Channel linear Weingarten surfaces. https://arxiv.org/abs/1507.03394

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