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Evolution of space-like curves and special time-like ruled surfaces in the Minkowski space
- Yoon, D. W.;
- Yuzbasi, Z. Kucukarslan;
- Aslan, E. Cavlak
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6초록
In this paper, we get the time evolution equations of the curvature and the torsion of a space-like curve in the three-dimensional Minkowski space. Also, we give inextensible evolutions of a time-like ruled surface that is produced by a time-like normal vector and a space-like binormal vector of a space-like curve and derive the necessary conditions for an inelastic surface evolution. As a result, we give applications of the time evolution equations for the curvature and the torsion of the space-like curve in terms of the velocities and get the exact solutions for these equations.
키워드
Curve evolution; Surface evolution; Ruled surface; Bell-shaped soliton; Kink soliton; Minkowski space; SOLITONS; SYSTEM
- 제목
- Evolution of space-like curves and special time-like ruled surfaces in the Minkowski space
- 저자
- Yoon, D. W.; Yuzbasi, Z. Kucukarslan; Aslan, E. Cavlak
- 발행일
- 2022-03
- 유형
- Article
- 권
- 96
- 호
- 4
- 페이지
- 995 ~ 999