Affiliation:
1. ERZINCAN BINALI YILDIRIM UNIVERSITY
Abstract
In this paper, the spinor formulations of Mannheim curve pair are investigated. First of all, two spinors matching to Mannheim curve pair are given and by considering the relationships between the Frenet frames of Mannheim curve pair, the relationship between two spinors matching to this curve pair are gotten. Therefore, a geometric interpretations of spinors are obtained using the Mannheim curve pair and considering Mannheim curve as helix the spinor formulations of Mannheim curve pair are given. Moreover, the spinor formulations are also obtained for the curvatures of the Mannheim curve pair. Consequently, an example of these spinors is obtained. Therefore, it is thought that this study will make an important contribution to the mathematical analysis and geometric interpretation of spinors, which have many uses in physics.
Publisher
International Electronic Journal of Geometry, Person (Kazim ILARSLAN)
Subject
Applied Mathematics,Geometry and Topology,Mathematical Physics
Reference31 articles.
1. [1] Akyigit, M., Ersoy, S., Özgür, I., Tosun, M.: Generalized Timelike Mannheim Curves in Minkowski Space-Time $E^4_1$. Mathematical Problems in Engineering. 1, 1-19 (2011).
2. [2] Akyigit, Azak, A. Z., Tosun, M.: Admissible Mannheim Curves in Pseudo-Galilean Space G31
. Afr. Diaspora J. of Math. 10, 58 (2010).
3. [3] Azak, A. Z.: On Timelike Mannheim Curve Pair in Three-Dimensional Lorentz Space. Sakarya University Journal of Science and Arts. 11 (2), 35-45 (2009).
4. [4] Balcı, Y., Eri¸sir, T., Güngör, M. A.: Hyperbolic Spinor Darboux Equations of Spacelike Curves in Minkowski 3-Space. J. Chungcheong Math. Soc. 28 (4), 525-535 (2015).
5. [5] Blum R.: A Remarkable Class of Mannheim-Curves. Canadian Mathematical Bulletin. 9, 223-228 (1966).
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