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arXiv · 1203.2059

Lc helices and harmonic curvatures in space forms (hypersurface)

Ali Senol·Evren Ziplar·Yusuf Yayli
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Abstract

In n-dimensional Euclidean space E^n, harmonic curvatures of a non-degenerate curve defined by Özdamar and Hacisalihoğlu [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].

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Ali Senol, Evren Ziplar, Yusuf Yayli. 2012-03-09. Lc helices and harmonic curvatures in space forms (hypersurface). https://arxiv.org/abs/1203.2059

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