Bull. Korean Math. Soc. 2013; 50(3): 885-899
Printed May 31, 2013
https://doi.org/10.4134/BKMS.2013.50.3.885
Copyright © The Korean Mathematical Society.
Jin Ho Choi and Young Ho Kim
University of Ulsan, Kyungpook National University
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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