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arXiv · 1905.03367

Behavior of torsion functions of spacelike curves in Lorentz-Minkowski space

Atsufumi Honda
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Abstract

In this paper, we introduce the pseudo-torsion functions along spacelike curves whose curvature vector field has isolated lightlike points in Lorentz-Minkowski 3-space, and prove the fundamental theorem. Moreover, we analyze the behavior of the torsion function at such points. As a corollary, we obtain a necessary and sufficient condition for real analytic spacelike curves to be planar.

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Atsufumi Honda. 2019-05-08. Behavior of torsion functions of spacelike curves in Lorentz-Minkowski space. https://arxiv.org/abs/1905.03367

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