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arXiv · 0909.2390

New special curves and their spherical indicatrices

Ahmad T Ali
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Abstract

In this paper, we define a new special curve in Euclidean 3-space which we call {\it $k-$slant helix} and introduce some characterizations for this curve. This notation is generalization of a general helix and slant helix. Furthermore, we have given some necessary and sufficient conditions for the $k-$slant helix.

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Ahmad T Ali. 2009-09-13. New special curves and their spherical indicatrices. https://arxiv.org/abs/0909.2390

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