Directional associated curves of a null curve in Minkowski 3-space
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초록
In this paper, we define the directional associated curve and the self-associated curve of a null curve in Minkowski 3-space. We study the properties and relations between the null curve, its directional associated curve and its self-associated curve. At the same time, by solving certain differential equations, we get the explicit representations of some null curves.
Abstract
In this paper, we define the directional associated curve and the self-associated curve of a null curve in Minkowski 3-space. We study the properties and relations between the null curve, its directional associated curve and its self-associated curve. At the same time, by solving certain differential equations, we get the explicit representations of some null curves.
참고문헌 (9)
- W. B. Bonnor, "Null curves in a Minkowski space-time", Tensor (N.S.), 20, pp.229~242 (1969)
- B. Y. Chen, "When does the position vector of a space curve always lie in its rectifying plane", Amer. Math. Monthly, 110(2), pp.147~152 (2003)
- J. H. Choi, "Bertrand curves in 3-dimensional space forms", Appl. Math. Comput, 219(3), pp.1040~1046 (2012)
- J. H. Choi, "Associated curves of a Frenet curve and their applications", Appl. Math. Comp, 218(18), pp.9116~9124 (2012)
- 최진호, "NOTE ON NULL HELICES IN E31", 대한수학회보, 50(3), pp.885~899 (2013), 대한수학회
- J. Inoguchi, "Null curves in Monkowski 3-space", Int. Electron. J. Geom, (2), pp.40~83 (2008)
- H. Liu, "Curves in the lightlike cone", Beitrage Algebra Geom, 45(1), pp.291~303 (2004)
- H. Liu, "Representation formulas of curves in a two- and three-dimensional lightlike cone", Results Math, 59(3-4), pp.437~451 (2011)
- A. D. Polyanin, "Handbook of Exact Solutions for Ordinary Differential Equations", pp.2003, Chapman and Hall