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Ruled Weingarten surfaces in Minkowski 3-space |
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| Authors: | Franki Dillen Wolfgang Kühnel |
| Affiliation: | Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium. e-mail: Franki.Dillen@wis.kuleuven.ac.be?Senior Research Assistant of National Fund for Scientific Research (Belgium), BE Mathematisches Institut B, Universit?t Stuttgart, D-70550 Stuttgart, Germany. e-mail: kuehnel@mathematik.uni-stuttgart.de, DE |
| Abstract: | We characterize all ruled surfaces in Minkowski 3-space with a relation between the Gauss and mean curvature (Weingarten surfaces). It turns out that, except if the rulings are in a null direction, these are given by Lorentzian screw motions of straight lines. However, if the rulings are always in a null direction, then every ruled surface is Weingarten. Received: 9 February 1998 / Revised version: 20 December 1998 |
| Keywords: | Mathematics Subject Classification (1991):53A05 53B30 |
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