paper

Polynomial Translation Weingarten Surfaces in 3-dimensional Euclidean space

arXiv:0809.4745

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.

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

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Polynomial Translation Weingarten Surfaces in 3-dimensional Euclidean space · wovepaper