학술저널
HYPERBOLIC SPINOR DARBOUX EQUATIONS OF SPACELIKE CURVES IN MINKOWSKI 3-SPACE
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 28, No. 4
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2015.11525 - 535 (11 pages)
- 2
In this paper, we study on spinors with two hyperbolic components. Firstly, we express the hyperbolic spinor representation of a spacelike curve defined on an oriented (spacelike or time-like) surface in Minkowski space R. 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.
1. Introduction
2. Preliminaries
3. The hyperbolic spinors representation for the spacelike curve
4. The hyperbolic spinor Darboux frame for the spacelike curves
5. Conclusion
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