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.

引用

页码：613 / 629

页数：17

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