Notes on null curves in Minkowski spaces

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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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Graduate School of Science and Technology, Hirosaki University, Hirosaki 036-8561, JAPAN e-mail: sakaki@cc.hirosaki-u.ac.jp