Meridian Surfaces of Elliptic or Hyperbolic Type with Pointwise 1-type Gauss Map in Minkowski 4-space

被引：23

作者：

Arslan, Kadri ^{[1
]}

Milousheva, Velichka ^{[2
]}

机构：

[1] Uludag Univ, Dept Math, Art & Sci Fac, TR-16059 Bursa, Turkey

[2] Bulgarian Acad Sci, Inst Math & Informat, Acad G Bonchev Str,Bl 8, BU-1113 Sofia, Bulgaria

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2016年 / 20卷 / 02期

关键词：

Meridian surfaces in Minkowski space; Finite type immersions; Harmonic Gauss map; Pointwise 1-type Gauss map; RULED SURFACES;

D O I：

10.11650/tjm.20.2016.5722

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we consider a special class of spacelike surfaces in the Minkowski 4-space which are one-parameter systems of meridians of the rotational hypersurface with timelike or spacelike axis. They are called meridian surfaces of elliptic or hyperbolic type, respectively. We study these surfaces with respect to their Gauss map. We find all meridian surfaces of elliptic or hyperbolic type with harmonic Gauss map and give the complete classification of meridian surfaces of elliptic or hyperbolic type with pointwise 1-type Gauss map.

引用

页码：311 / 332

页数：22