Directional associated curves of a null curve in Minkowski 3-space
Bull. Korean Math. Soc. 2015 Vol. 52, No. 1, 183-200
https://doi.org/10.4134/BKMS.2015.52.1.183
Printed January 31, 2015
Jinhua Qian and Young Ho Kim
Northeastern University, Kyungpook National University
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.
Keywords : Minkowski space, null curve, null curvature, directional associated curve, self-associated curve
MSC numbers : Primary 53A04, 53B30
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