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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.
Note on null helices in $\mathbb{E}^3_1$
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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