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arxiv: 1203.4388 · v2 · pith:K452IOQ2new · submitted 2012-03-20 · 🧮 math.DG

Isophote curves on spacelike surfaces in Lorentz-Minkowski space E31

classification 🧮 math.DG
keywords isophoteaxiscurvespacelikelorentz-minkowskispacesurfacevectors
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Isophote curve consists of a locus of surface points whose normal vectors make a constant angle with a fixed vector (the axis). In this paper, we define an isophote curve on a spacelike surface in Lorentz-Minkowski space and then find its axis as timelike and spacelike vectors via the Darboux frame. Besides, we give some characterizations concerning isophote curve and its axis.

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