Channel linear Weingarten surfaces
Differential Geometry
2015-07-14 v1
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.
Keywords
Cite
@article{arxiv.1507.03394,
title = {Channel linear Weingarten surfaces},
author = {U. Hertrich-Jeromin and K. Mundilova and E. -H. Tjaden},
journal= {arXiv preprint arXiv:1507.03394},
year = {2015}
}
Comments
7 pages, 1 figure