English

On characteristic curves of developable surfaces in Euclidean 3-space

Differential Geometry 2015-08-25 v1

Abstract

We investigate the relationship among characteristic curves on developable surfaces. In case parameter curves coincide with these curves, we show that the base curve of a developable surface could be either a plane curve, a circular helix, a general helix or a slant helix.

Keywords

Cite

@article{arxiv.1508.05439,
  title  = {On characteristic curves of developable surfaces in Euclidean 3-space},
  author = {Fatih Dogan},
  journal= {arXiv preprint arXiv:1508.05439},
  year   = {2015}
}

Comments

13 pages