Flat surfaces in the Minkowski space E13 with pointwise 1-type Gauss map

被引：11
|
作者：
Dursun, Ugur [1 ]
Coskun, Emel [1 ]
机构：
[1] Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey
来源：
TURKISH JOURNAL OF MATHEMATICS | 2012年 / 36卷 / 04期
关键词：
Gauss map; Pointwise; 1-type; Ruled surface; Cone; Cylinder; Developable surface; RULED SURFACES; HYPERSURFACES; REVOLUTION;
D O I：
10.3906/mat-1104-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we obtain all nonplanar cylindrical surfaces in the Minkowski space E-1(3) with pointwise 1-type Gauss map of the second kind. We also prove that right circular cones and hyperbolic cones in E-1(3) are the only cones in E-1(3) with pointwise 1-type Gauss map Of the second kind. We conclude that there is no tangent developable surface fully lying in E-1(3) with pointwise 1-type Gauss map of the second kind.
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页码：613 / 629
页数：17
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