Classification Theorems of Ruled Surfaces in Minkowski Three-Space

被引：1
|
作者：
Choi, Miekyung [1 ,2 ]
Kim, Young Ho [3 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea
[2] Gyeongsang Natl Univ, RINS, Jinju 52828, South Korea
[3] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea
来源：
MATHEMATICS | 2018年 / 6卷 / 12期
基金：
新加坡国家研究基金会;
关键词：
ruled surface; null scroll; Minkowski space; pointwise 1-type Gauss map; generalized 1-type Gauss map; conical surface of G-type;
D O I：
10.3390/math6120318
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By generalizing the notion of the pointwise 1-type Gauss map, the generalized 1-type Gauss map has been recently introduced. Without any assumption, we classified all possible ruled surfaces with the generalized 1-type Gauss map in a 3-dimensional Minkowski space. In particular, null scrolls do not have the proper generalized 1-type Gauss map. In fact, it is harmonic.
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收藏
页数：18
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