Isophote curves on timelike surfaces in Minkowski 3-space

Details Isophote curves on timelike surfaces in Minkowski 3-space Isophote curves on timelike surfaces in Minkowski 3-space

2012-03-20

arxiv.org/abs/1203.4389v1

Mathematics

Differential Geometry

11 pages

Scientific paper

Isophote comprises a locus of the surface points whose normal vectors make a
constant angle with a fixed vector. In this paper, isophote curves are studied
on timelike surfaces in Minkowski 3-space E31. The axises of spacelike and
timelike isophote curves are found via their Darboux frames. Subsequently, the
relationship between isophotes and slant helices is shown on timelike surfaces.

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