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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.
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참고문헌 (9)
참고문헌 신청
A. D. Polyanin / 2003 / Handbook of Exact Solutions for Ordinary Differential Equations / Chapman and Hall/CRC
B. Y. Chen / 2003 / When does the position vector of a space curve always lie in its rectifying plane / Amer. Math. Monthly 110 (2) : 147 ~ 152
H. Liu / 2004 / Curves in the lightlike cone / Beitrage Algebra Geom 45 (1) : 291 ~ 303
H. Liu / 2011 / Representation formulas of curves in a two- and three-dimensional lightlike cone / Results Math 59 (3-4) : 437 ~ 451
J. H. Choi / 2012 / Associated curves of a Frenet curve and their applications / Appl. Math. Comp 218 (18) : 9116 ~ 9124
B. Y. Chen / 2003 / When does the position vector of a space curve always lie in its rectifying plane / Amer. Math. Monthly 110 (2) : 147 ~ 152
H. Liu / 2004 / Curves in the lightlike cone / Beitrage Algebra Geom 45 (1) : 291 ~ 303
H. Liu / 2011 / Representation formulas of curves in a two- and three-dimensional lightlike cone / Results Math 59 (3-4) : 437 ~ 451
J. H. Choi / 2012 / Associated curves of a Frenet curve and their applications / Appl. Math. Comp 218 (18) : 9116 ~ 9124
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