Note on null helices in $\mathbb{E}^3_1$
Bull. Korean Math. Soc. 2013 Vol. 50, No. 3, 885-899
https://doi.org/10.4134/BKMS.2013.50.3.885
Printed May 31, 2013
Jin Ho Choi and Young Ho Kim
University of Ulsan, Kyungpook National University
Abstract : In this paper, we study null helices, null slant helices and Cartan slant helices in $\mathbb{E}^3_1$. Using some associated curves, we characterize the null helices and the Cartan slant helices and construct them. Also, we study a space-like curve with the principal normal vector field which is a degenerate plane curve.
Keywords : Minkowski 3-space, null general helix, null slant helix, Cartan slant helix, associated curve
MSC numbers : Primary 53B30, 53B50, 53C80
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