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

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2016年 / 26卷 / 02期

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

页码：757 / 770

页数：14

共 50 条

[1] On Conformal Curves in 2-Dimensional de Sitter Space
Hakan Simsek
Mustafa Özdemir
Advances in Applied Clifford Algebras, 2016, 26 : 757 - 770
[2] ELASTICA ON 2-DIMENSIONAL ANTI-DE SITTER SPACE
Yucesan, Ahmet
Oral, Mehmet
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2011, 8 (01) : 107 - 113
[3] Holographic central charge for 2-dimensional de Sitter space
Medved, AJM
PHYSICAL REVIEW D, 2003, 67 (08)
[4] Generalized elastica on 2-dimensional de Sitter space S12
Huang, Rongpei
Yu, Junyan
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, 13 (04)
[5] Conformal vacua and entropy in de Sitter space
Bousso, R
Maloney, A
Strominger, A
PHYSICAL REVIEW D, 2002, 65 (10)
[6] Conformal linear gravity in de Sitter space
Takook, M. V.
Tanhayi, M. R.
Fatemi, S.
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (03)
[7] Biminimal curves in 2-dimensional space forms
Inoguchi, Jun-Ichi
Lee, Ji-Eun
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 27 (04): : 771 - 780
[8] EXTENDED DE SITTER THEORY OF 2-DIMENSIONAL GRAVITATIONAL FORCES
CANGEMI, D
DUNNE, G
PHYSICAL REVIEW D, 1993, 48 (12): : 5721 - 5729
[9] EFFECTIVE ACTION IN DE SITTER SPACE AND CONFORMAL SUPERGRAVITY
TSEYTLIN, AA
SOVIET JOURNAL OF NUCLEAR PHYSICS-USSR, 1984, 39 (06): : 1018 - 1023
[10] Conformal linear gravity in de Sitter space II
Takook, M. V.
Pejhan, H.
Tanhayi, M. Reza
EUROPEAN PHYSICAL JOURNAL C, 2012, 72 (07): : 1 - 11

← 1 2 3 4 5 →