Lc helices and harmonic curvatures in space forms (hypersurface)
Differential Geometry
2012-03-12 v1
Abstract
In n-dimensional Euclidean space E^n, harmonic curvatures of a non-degenerate curve defined by \"Ozdamar and Hacisaliho\u{g}lu [4]. In this paper, We define a new type of curves called LC helix when the angle between tangent of this curve and LC parallel vector field in space form is constant. Furthermore, several characterizations of these curves by using its harmonic curvatures are obtained. Particularly, in the 3-dimensional spaceform we obtain the results [5].
Cite
@article{arxiv.1203.2059,
title = {Lc helices and harmonic curvatures in space forms (hypersurface)},
author = {Ali Senol and Evren Ziplar and Yusuf Yayli},
journal= {arXiv preprint arXiv:1203.2059},
year = {2012}
}