English

Ruled Weingarten Surfaces Related to Dual Spherical Curves

Differential Geometry 2013-07-11 v1

Abstract

We study ruled surfaces in R3 which are obtained from dual spher- ical indicatrix curves of dual Frenet vector fields. We find the Gaussian and mean curvatures of the ruled surfaces and give some results of being Wein- garten surface.

Keywords

Cite

@article{arxiv.1307.2716,
  title  = {Ruled Weingarten Surfaces Related to Dual Spherical Curves},
  author = {İlkay Arslan Güven and Semra Kaya Nurkan and Murat Kemal Karacan},
  journal= {arXiv preprint arXiv:1307.2716},
  year   = {2013}
}