Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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NOTE ON NULL HELICES IN $\mathbb{E}_1^3$

  • Choi, Jin Ho (Department of Mathematics University of Ulsan) ;
  • Kim, Young Ho (Department of Mathematics Kyungpook National University)
  • Received : 2012.03.30
  • Published : 2013.05.31
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Abstract

In this paper, we study null helices, null slant helices and Cartan slant helices in $\mathb{E}^3_1$. 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

Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

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