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

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arxiv 1905.03367 v3 pith:WMPADHBN submitted 2019-05-08 math.DG

Atsufumi Honda This is my paper · ORCID
classification math.DG
keywords curvesspacelikebehaviorfunctionslorentz-minkowskipointsspacetorsion
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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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  1. Isometric deformations of mixed type surfaces in Lorentz-Minkowski space

    math.DG 2019-08 conditional novelty 7.0 of 10

    Real analytic generic mixed type surfaces in Lorentz-Minkowski space admit nontrivial local isometric deformations at lightlike points, and the lightlike normal curvature is extrinsic.

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