General rotational surfaces in Euclidean space E4 with pointwise 1-type Gauss map

被引：0
|
作者：
Dursun, Ugur [1 ]
Turgay, Nurretin Cenk [1 ]
机构：
[1] Istanbul Tech Univ, Fac Sci & Letter, Dept Math, TR-34469 Istanbul, Turkey
来源：
MATHEMATICAL COMMUNICATIONS | 2012年 / 17卷 / 01期
关键词：
Rotational surfaces; minimal surface; normal bundle; mean curvature; pointwise; 1-type; Gauss map;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study general rotational surfaces in E-4 with pointwise 1-type Gauss map. We consider general rotational surfaces in E-4 whose meridian curves lie in two-dimensional planes. We firstly obtain all general rotational surfaces in E-4 with proper pointwise 1-type Gauss map of the first kind. Then we classify minimal rotational surfaces of E-4 with proper pointwise 1-type Gauss map of the second kind.
引用
收藏
页码：71 / 81
页数：11
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