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

页码：71 / 81

页数：11

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