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Natural Frenet Equations of Null Curves

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2005, v.12 no.3, pp.211-221
JIN, Dae-Ho
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Abstract

The purpose of this paper is to study the geometry of null curves in a Lorentzian manifold (M, g). We show that it is possible to construct new type of Frenet equations of null curves in M, supported by two examples.

keywords
null curve, Frenet frames

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics