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

• 발행기관: 충청수학회
• 저자명: Yakup Balci Tulay Erisir Mehmet Ali Gungor
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 28, No. 4, 525~535쪽, 전체 11쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2015.11.30

국문 초록

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.

목차

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

키워드

hyperbolic space hyperbolic spinors Frenet formula.