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.

DOI

10.3906/mat-0812-14

Keywords

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

First Page

417

Last Page

424

Recommended Citation

SAKAKI, M (2010). Notes on null curves in Minkowski spaces. Turkish Journal of Mathematics 34 (3): 417-424. https://doi.org/10.3906/mat-0812-14