Some Characterizations of Slant Helices in the Euclidean Space Eⁿ

2009/04/07 by Ali, Ahmad, Turgut, Melih
#53A04 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0904.1187

Abstract

In this work, notion of a slant helix is extended to space Eⁿ. 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.

Related

• Helices in the Euclidean 5-Space
• Slant helices in Euclidean 4-space E⁴
• Position vectors of slant helices in Euclidean space E³
• On Spherical Slant Helices in Euclidean 3-Space
• New special curves and their spherical indicatrices