Ruled Weingarten surfaces in Minkowski 3-space

被引：78

作者：

Dillen, F

Kühnel, W

机构：

[1] Katholieke Univ Leuven, Dept Wiskunde, B-3001 Louvain, Belgium

[2] Univ Stuttgart, Inst Math B, D-70550 Stuttgart, Germany

来源：

MANUSCRIPTA MATHEMATICA | 1999年 / 98卷 / 03期

关键词：

D O I：

10.1007/s002290050142

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：307 / 320

页数：14

共 19 条

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[2]

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