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arXiv · 1603.09259

N-Legendre and N-Slant Curves in the Unit Tangent Bundle of Minkowski Surfaces

Murat Bekar·Fouzi Hathout·Yusuf Yayli
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Abstract

Let $(\mathbb{M}_{1}^{2},g)$ be a Minkowski surface and $(T_1\mathbb{M}_1^2, g_1)$ its unit tangent bundle endowed with the pseudo-Riemannian induced Sasaki metric. We extend in this paper the study of the N-Legendre and N-slant curves which the inner product of normal vector and Reeb vector is zero and nonzero constant respectively in $\left( T_1 \mathbb{M}_1^2, g_1 \right)$, given in \cite{hmy}, to the Minkowski context and several important characterizations of these curves are given.\newline

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Murat Bekar, Fouzi Hathout, Yusuf Yayli. 2016-02-10. N-Legendre and N-Slant Curves in the Unit Tangent Bundle of Minkowski Surfaces. https://arxiv.org/abs/1603.09259

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