Channel linear Weingarten surfaces
Hertrich-Jeromin, U. · Mundilova, K. · Tjaden, E. -H.
Original · EN
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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