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arxiv: 0904.1187 · v1 · submitted 2009-04-07 · 🧮 math.DG

Some Characterizations of Slant Helices in the Euclidean Space E^n

classification 🧮 math.DG
keywords slantspacecharacterizationseuclideanhelixsomeconditionscurvature
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In this work, notion of a slant helix is extended to space E$^n$. Necessary and sufficient conditions to be a slant helix in the Euclidean $n-$space are presented. Moreover, we express some integral characterizations of such curves in terms of curvature functions.

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