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A study on special curves of AW(k)-type in the pseudo-Galilean space

Differential Geometry 2015-01-30 v1

Abstract

This paper is devoted to the study of AW(k)-type curves according to the equiform differential geometry of the pseudo-Galilean space. We show that equiform Bertrand curves are circular helices or isotropic circles of the pseudo-Galilean space. Also, there are equiform Bertrand curves of AW(3) and weak AW(3)-types. Moreover, we give the relations between the equiform curvatures of these curves. Finally, examples of some special curves are given and plotted.

Keywords

Cite

@article{arxiv.1501.07532,
  title  = {A study on special curves of AW(k)-type in the pseudo-Galilean space},
  author = {H. S. Abdel-Aziz and M. Khalifa Saad},
  journal= {arXiv preprint arXiv:1501.07532},
  year   = {2015}
}

Comments

17 pages,5 figures