Makoto SAKAKI

Notes on null curves in Minkowski spaces

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.

Anahtar Kelimeler:

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

Notes on null curves in Minkowski spaces

Keywords:

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

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Duggal, K. L. and Bejancu, A.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Duggal, K. L. and Jin, D. H.: Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, World Sci. 2007.
Ferrandez, A., Gimenez, A. and Lucas, P.: Null helices in Lorentzian space forms, Int. J. Mod. Phys. A., 16, 4863 (2001).
O’Neill, B.: Semi-Riemannian Geometry with Applications to Relativity, Academic Press 1983.
Oprea, J.: Diﬀerential Geometry and its Applications, M.A.A. 2007. Makoto SAKAKI
Graduate School of Science and Technology, Hirosaki University, Hirosaki 036-8561, JAPAN e-mail: sakaki@cc.hirosaki-u.ac.jp