Isophote curves on spacelike surfaces in Lorentz-Minkowski space E31

Details Isophote curves on spacelike surfaces in Lorentz-Minkowski space E31 Isophote curves on spacelike surfaces in Lorentz-Minkowski space E31

2012-03-20

arxiv.org/abs/1203.4388v1

Mathematics

Differential Geometry

12 pages

Scientific paper

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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