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Isophote curves on timelike surfaces in Minkowski 3-space

Differential Geometry 2018-05-25 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1203.4389,
  title  = {Isophote curves on timelike surfaces in Minkowski 3-space},
  author = {Fatih Dogan},
  journal= {arXiv preprint arXiv:1203.4389},
  year   = {2018}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:1203.4388