Tangent Bundle of Pseudo-sphere and Ruled Surfaces in Minkowski 3-space

Murat BEKAR; Fouzi HATHOUT; Yusuf YAYLI

Article Details

Tangent Bundle of Pseudo-sphere and Ruled Surfaces in Minkowski 3-space

Authors:

Murat BEKAR | Fouzi HATHOUT | Yusuf YAYLI

Publisher:

Refaad for Studies and Research, Jordan

Journal:

General Letters in Mathematics Vol.5 Issue 14, pp.58-70

Document Type:

Article

Publication Date:

4/2019

Document Language:

English

Document ID (Org No.):

2001613934

pISSN:

2519-9277

Keywords:

Abstract:

 According to E. Study map in Minkowski space, we give in this present paper, a one-to-one correspondence between ”the curves on tangent bundles of Lorentzian (or de Sitter) unit sphere TS2 1 and hyperbolic unit sphere TH2” and ”the space-like or time-like ruled surface in E3 1”. In fact, we can consider each curve on TS2 1 or TH2 as a ruled surface in E3 1. Moreover, we study the relationships between the developability conditions of these corresponding ruled surfaces in E3 1 and their base and striction curves, and we show that if the curves on TS2 1 or TH2 are involute-evolute couples, then the corresponding ruled surfaces are developable.

Article Details

Tangent Bundle of Pseudo-sphere and Ruled Surfaces in Minkowski 3-space

Authors:

Murat BEKAR | Fouzi HATHOUT | Yusuf YAYLI

Publisher:

Refaad for Studies and Research, Jordan

Journal:

General Letters in Mathematics Vol.5 Issue 14, pp.58-70

Document Type:

Article

Publication Date:

4/2019

Document Language:

English

Document ID (Org No.):

2001613934

pISSN:

2519-9277

Tangent bundle

Unit dual pseudo-sphere

Minkowski space

E. Study map

Ruled surface

Legendre curve

Issues

Article Details

Tangent Bundle of Pseudo-sphere and Ruled Surfaces in Minkowski 3-space

Authors: Murat BEKAR | Fouzi HATHOUT | Yusuf YAYLI

Publisher: Refaad for Studies and Research, Jordan

Journal: General Letters in Mathematics Vol.5 Issue 14, pp.58-70

Document Type: Article

Publication Date: 4/2019

Document Language: English

Document ID (Org No.): 2001613934

pISSN: 2519-9277

Tangent bundle

Unit dual pseudo-sphere

Minkowski space

E. Study map

Ruled surface

Legendre curve

Issues

Authors:

Murat BEKAR | Fouzi HATHOUT | Yusuf YAYLI

Publisher:

Refaad for Studies and Research, Jordan

Journal:

General Letters in Mathematics Vol.5 Issue 14, pp.58-70

Document Type:

Article

Publication Date:

4/2019

Document Language:

English

Document ID (Org No.):

2001613934

pISSN:

2519-9277