On Conformal Curves in 2-Dimensional de Sitter Space

被引:7
作者
Simsek, Hakan [1 ]
Ozdemir, Mustafa [1 ]
机构
[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey
关键词
De Sitter space; Loxodrome; Clifford algebras;
D O I
10.1007/s00006-015-0614-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we examine the pseudo-spherical curves, which are equivalent to each other under the conformal maps preserving a fixed point in the de Sitter 2-space, by using the Clifford algebra Cl (2,1). Also, we find the parametric equations of de Sitter loxodromes.
引用
收藏
页码:757 / 770
页数:14
相关论文
共 20 条
[1]  
Alexander J., 2004, Math. Mag., V77, P349, DOI DOI 10.1080/0025570X.2004.11953279
[2]  
[Anonymous], 1987, CLIFFORD ALGEBRA GEO
[3]  
[Anonymous], 1983, SEMIRIEMANNIAN GEOME
[4]  
[Anonymous], 1943, Am. Math. Mon.
[5]  
[Anonymous], BEITR ALGEBRA GEOM
[6]  
[Anonymous], SPRINGER BRIEFS PHYS
[7]  
Babaarslan M., 2013, ANN AL CUZA U MATH, DOI DOI 10.2478/AICU-2013-0021
[8]  
Barata J.C.A., 2013, ARXIV13112905V1
[9]  
Berger M., 1998, GEOMETRY
[10]  
de Sitter W, 1917, P K AKAD WET-AMSTERD, V19, P1217