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arxiv: 0909.2390 · v1 · submitted 2009-09-13 · 🧮 math.DG

New special curves and their spherical indicatrices

classification 🧮 math.DG
keywords helixslantcurvesomespecialcallcharacterizationsconditions
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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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