Channel linear Weingarten surfaces
classification
🧮 math.DG
keywords
linearsurfaceweingartenchannelsurfacescatenoidcompleteconstant
read the original 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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