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

Abstract

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.

arXiv comment8 pages

References in corpus (1)

• Curves with constant curvature ratios

Cited by in corpus (4)

• A new approach on helices in pseudo-Riemannian manifolds
• The detailed proof of theorem which characterizes a slant helix
• A new kind of slant helix in Pseudo-Riemannian Manifolds
• On Strong r-Helix Submanifolds and Special Curves