Journals / Turkish Journal of Mathematics / 2010 / Cilt: 34 - Sayı: 3

Notes on null curves in Minkowski spaces

Pages
417–424
DOI
—

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.

Özet

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.