Polynomial Translation Weingarten Surfaces in 3-dimensional Euclidean space

Details Polynomial Translation Weingarten Surfaces in 3-dimensional Euclidean space Polynomial Translation Weingarten Surfaces in 3-dimensional Euclidean space

2008-09-27

arxiv.org/abs/0809.4745v1

World Scientific 2009, 316-320

Mathematics

Differential Geometry

8 pages, 5 figures, presented as poster at the VIII International Colloquium on Differential Geometry, Santiago de Compostela,

Scientific paper

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.

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