arXiv:1108.3582 Abstract | arXiv Analytics

arXiv:1108.3582 [math.DG]Abstract References Reviews Resources

On Slant Helices and General Helices in Euclidean n-Space

Published 2011-08-17Version 1

In this paper, in Euclidean n -space, we investigate the relation between slant helices and spherical helices. Moreover, in E n, we show that a slant helix and the tangent indicatrix of the slant helix have the same axis (or direction). Also, we give the important relations between slant helices, spherical helices in E n and geodesic curves on a helix hypersurface in E n.

Categories: math.DG

Subjects: 53A04, 53B25, 53C40, 53C50

Keywords: slant helices, general helices, euclidean n-space, slant helix, spherical helices

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