Translation Surfaces of Weingarten Type in 3-Space

Franki Dillen (), Wendy Goemans () and Ignace Van de Woestyne ()
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Franki Dillen: Katholieke Universiteit Leuven, Belgium
Wendy Goemans: Hogeschool-Universiteit Brussel (HUB), Belgium
Ignace Van de Woestyne: Hogeschool-Universiteit Brussel (HUB), Belgium

No 2008/63, Working Papers from Hogeschool-Universiteit Brussel, Faculteit Economie en Management

Abstract: In this paper, we derive a classification of translation surfaces in the 3-dimensional Euclidean and Minkowski space, satisfying the Weingarten condition. Even though the family of translation surfaces is one of the simplest to consider, obtaining this classification is far from trivial and requires the use of a computer algebra system.

Keywords: translation surface; Weingarten type; semi-Euclidean geometry (search for similar items in EconPapers)
Pages: 12 pages
Date: 2008-11-18
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