Position vectors of slant helices in Euclidean 3-space
نویسندگان
چکیده
منابع مشابه
9 Position vectors of slant helices in Euclidean space E 3
In classical differential geometry, the problem of the determination of the position vector of an arbitrary space curve according to the intrinsic equations κ = κ(s) and τ = τ (s) (where κ and τ are the curvature and torsion of the space curve ψ, respectively) is still open [7, 14]. However, in the case of a plane curve, helix and general helix, this problem is solved. In this paper, we solved ...
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In this work, the notion of a slant helix is extended to the space E. First, we introduce the type-2 harmonic curvatures of a regular curve. Thereafter, by using this, we present some necessary and sufficient conditions for a curve to be a slant helix in Euclidean n-space. We also express some integral characterizations of such curves in terms of the curvature functions. Finally, we give some c...
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ژورنال
عنوان ژورنال: Journal of the Egyptian Mathematical Society
سال: 2012
ISSN: 1110-256X
DOI: 10.1016/j.joems.2011.12.005