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arXiv · 2510.20396

A review on the Vn-slant helices in lightlike cone Qn+1 En+2

Fatma Almaz·Handan Oztekin
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Abstract

In this paper, Vn-slant helices and the harmonic curvature functions of Vn-slant helices are de ned in lightlike cone Qn+1, and the differential equations of the harmonic curvature functions Hi, 1<i<n-2 of Vn-slant helices are expressed by using constant vector field W that is the axis of Vn slant helices. Also, the necessary and sufficient conditions are given according to the condition of being Vn-slant helices by using the asymptotic orthonormal frame in Qn+1.

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Fatma Almaz, Handan Oztekin. 2025-10-23. A review on the Vn-slant helices in lightlike cone Qn+1 En+2. https://arxiv.org/abs/2510.20396

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