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http://dx.doi.org/10.14403/jcms.2015.28.4.525

HYPERBOLIC SPINOR DARBOUX EQUATIONS OF SPACELIKE CURVES IN MINKOWSKI 3-SPACE  

Balci, Yakup (Department of Mathematics Sakarya University)
Erisir, Tulay (Department of Mathematics Sakarya University)
Gungor, Mehmet Ali (Department of Mathematics Sakarya University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.4, 2015 , pp. 525-535 More about this Journal
Abstract
In this paper, we study on spinors with two hyperbolic components. Firstly, we express the hyperbolic spinor representation of a spacelike curve dened on an oriented (spacelike or time-like) surface in Minkowski space ${\mathbb{R}}^3_1$. Then, we obtain the relation between the hyperbolic spinor representation of the Frenet frame of the spacelike curve on oriented surface and Darboux frame of the surface on the same points. Finally, we give one example about these hyperbolic spinors.
Keywords
hyperbolic space; hyperbolic spinors; Frenet formula;
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