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arXiv:0809.4745 [math.DG]AbstractReferencesReviewsResources

Polynomial Translation Weingarten Surfaces in 3-dimensional Euclidean space

Marian Ioan Munteanu, Ana Irina Nistor

Published 2008-09-27Version 1

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.

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
Journal: World Scientific 2009, 316-320
Categories: math.DG
Subjects: 53A05, 53A10
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