Polynomial Translation Weingarten Surfaces in 3-dimensional Euclidean space
Differential Geometry
2009-07-01 v1
Abstract
In this paper we will classify those translation surfaces in E3 involving polynomials which are Weingarten surfaces. We analyze Weingarten translation surfaces satisfying 2aH + bK = 0. We study also other types of translation surfaces, involving power functions, for which the second Gaussian curvature vanishes.
Keywords
Cite
@article{arxiv.0809.4745,
title = {Polynomial Translation Weingarten Surfaces in 3-dimensional Euclidean space},
author = {Marian Ioan Munteanu and Ana Irina Nistor},
journal= {arXiv preprint arXiv:0809.4745},
year = {2009}
}
Comments
8 pages, 5 figures, presented as poster at the VIII International Colloquium on Differential Geometry, Santiago de Compostela, Spain, 7-11 July 2008; ISBN 978-981-4261166