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arXiv · 1411.1013

Geometric Interpretation of det(C^(3),C^(4),C^(5))=0 in E13

Seher Kaya·Ismail Gok·Yusuf Yayli
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Abstract

In this paper, we investigate the tangent indicatrix of the curve C with constant curvature. Tangent indicatrix of the curve C is characterized with det(C^(3),C^(4),C^(5))=0 in Minkowski 3-space E13. Moreover, we study null slant helices using the determinant approach and give the following characterization: A curve C is a null slant helix in E13 if and only if det(C^(3),C^(4),C^(5))=0. Then similar results are obtained for non-null curves with the condition k=1.

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Seher Kaya, Ismail Gok, Yusuf Yayli. 2014-11-03. Geometric Interpretation of det(C^(3),C^(4),C^(5))=0 in E13. https://arxiv.org/abs/1411.1013

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