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Rodrigues parameters on dual hyperbolic unit sphere
*Buşra AktaşCorresponding authorbaktas6638@gmail.comDepartment of MathematicsFaculty of Science and ArtsUniversity of KirikkaleYahşihan, Kirikkale, 71450, TurkeyView full profile → , Olgun Durmazdurmazolgun@gmail.comDepartment of MathematicsFaculty of Science and ArtsUniversity of KirikkaleYahşihan, Kirikkale, 71450, TurkeyView full profile → , Halit Gündoğanhagundogan@hotmail.comDepartment of MathematicsFaculty of Science and ArtsUniversity of KirikkaleYahşihan, Kirikkale, 71450, TurkeyView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 08 Feb 2017
- Accepted:
- 24 Sep 2017
- Published Online:
- 12 Jun 2018
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2017.1413063
- Pages:
- 1–16
Abstract
Rodrigues parameters depend on the tangent of the half rotation angle in Euclidean space but in Dual space, dual Rodrigues parameters contain both rotation angle and distance corresponding the shortest distance between the straight lines in ℝ3. In this paper, we give Cayley's formula for the dual hyperbolic spherical motion and explain 3×3 type L-Dual skew symmetric matrices by using properties of this formula. Then, we obtain Rodrigues parameters of dual Hyperbolic unit sphere and show that Rodrigues parameters contain the hyperbolic rotation angle which is being between timelike lines and distance which is the minimal Lorentzian distance between the timelike lines of .
Keywords
Subject Classifications
70B1070B9953A1747L50
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