Constant Curvature Translation Surfaces in Galilean 3-Space

被引：0

作者：

Aydin, Muhittin Evren ^{[1
]}

Kulahci, Mihriban Alyamac ^{[1
]}

Ogrenmis, Alper Osman ^{[1
]}

机构：

[1] Firat Univ, Dept Math, TR-23200 Elazig, Turkey

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2019年 / 12卷 / 01期

关键词：

Galilean space; translation surface; Gaussian curvature; mean curvature; CLASSIFICATION; HYPERSURFACES; SPACE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

There are five different types of translation surfaces in a Galilean 3-space based upon planarity of generating curves and absolute figure. We obtain these surfaces with arbitrary constant Gaussian and mean curvature, except the type that both of generating curves are non-planar.

引用

页码：9 / 19

页数：11

共 43 条

[1] A study on classification of translation surfaces in pseudo-Galilean 3-space
Abdel-Baky, Rashad A.
Unluturk, Yasin
[J]. JOURNAL OF COUPLED SYSTEMS AND MULTISCALE DYNAMICS, 2018, 6 (03) : 233 - 240
[2] [Anonymous], 2014, J MATH RES
[3] [Anonymous], 2008, PERIOD MATH HUNGAR
[4] [Anonymous], 2000, KUMAMOTO J MATH
[5] [Anonymous], 2006, PROJECTIVE CAYLEY KL
[6] Aydin ME, 2015, GLAS MAT, V50, P441
[7] Geometry of the Solutions of Localized Induction Equation in the Pseudo-Galilean Space
Aydin, Muhittin Evren
Mihai, Adela
Ogrenmis, Alper Osman
Ergut, Mahmut
[J]. ADVANCES IN MATHEMATICAL PHYSICS, 2015, 2015
[8] TRANSLATION SURFACES IN THE 3-DIMENSIONAL GALILEAN SPACE SATISFYING ΔxiII = λixi
Cakmak, Ali
Karacan, Murat Kemal
Kiziltug, Sezai
Yoon, Dae Won
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (04) : 1241 - 1254
[9] Darboux J.G, 1914, THEORIE GEN SURFACES THEORIE GEN SURFACES
[10] Dede M, 2018, J MATH PHYS ANAL GEO, V14, P141

← 1 2 3 4 5 →