Spacelike Rotational Surfaces of Elliptic, Hyperbolic and Parabolic Types in Minkowski Space E14 with Pointwise 1-Type Gauss Map

被引:0
|
作者
Dursun, Ugur [1 ]
Bektas, Burcu [2 ]
机构
[1] Isik Univ, Dept Math, TR-034980 Istanbul, Turkey
[2] Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey
关键词
Pointwise 1-type Gauss map; Harmonic Gauss map; Rotational surface; Parallel mean curvature vector; Normal bundle; RULED SURFACES; HYPERSURFACES; REVOLUTION;
D O I
10.1007/s11040-014-9153-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider a class of spacelike rotational surfaces in Minkowski space E-1(4) with 2-dimensional axis. There are three types of rotational surfaces with 2-dimensional axis, called rotational surfaces of elliptic, hyperbolic or parabolic type. We obtain all flat spacelike rotational surfaces of elliptic and hyperbolic types with pointwise 1-type Gauss map. We also determine flat spacelike rotational surface of parabolic type with pointwise 1-type Gauss map of the first kind. Then, we conclude that there exists no flat spacelike rotational surface of parabolic type in E-1(4) with pointwise 1-type Gauss map of the second kind.
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页码:247 / 263
页数:17
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