Notes on null curves in Minkowski spaces

Authors: MAKOTO SAKAKI

Abstract: We show a correspondence between the evolute of a null curve and the involute of a certain spacelike curve in the 4-dimensional Minkowski space. Also we characterize pseudo-spherical null curves in the n-dimensional Minkowski space in terms of the curvature functions.

Keywords: Null curve, Minkowski space, Frenet frame, Cartan curvature.

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