The Flat Translation Surfaces in the 3-dimensional Lorentz Heisenberg Group H3

被引：0
|
作者：
Medjati, Rafik [1 ]
Taifour, Said [1 ]
Zoubir, Hanifi [1 ]
机构：
[1] ENP Oran Maurice AUDIN Ex ENSET, Oran, Algeria
来源：
JOURNAL FOR GEOMETRY AND GRAPHICS | 2024年 / 28卷 / 01期
关键词：
Gaussian curvature; Lorentz Heisenberg space; First Fundamental Form; Second Fundamental form; Translation surface; Flat surface; MEAN-CURVATURE SURFACES; INVARIANT SURFACES; CONSTANT;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the Lorentz-Heisenberg space H-3 endowed with flat metric g( 3) , a translation surface is parametrized by r( x, y) = gamma(1) (x) & lowast; gamma(2) (y), where gamma( 1) and gamma (2) are two planar curves lying in planes, which are not orthogonal. In this article, we classify translation surfaces in H-3, with vanishing Gaussian curvature in Lorentz- Heisenberg space H-3.
引用
收藏
页码：1 / 18
页数：18
相关论文
共 50 条
12345