On curves of constant breadth in a 3-dimensional lie group


Yoon D., TUNÇER Y., KARACAN M. H.

Acta Mathematica Universitatis Comenianae, vol.85, no.1, pp.81-86, 2016 (Scopus)

  • Publication Type: Article / Article
  • Volume: 85 Issue: 1
  • Publication Date: 2016
  • Journal Name: Acta Mathematica Universitatis Comenianae
  • Journal Indexes: Scopus
  • Page Numbers: pp.81-86
  • Keywords: Constant breadth, General helix, Lie group
  • Uşak University Affiliated: Yes

Abstract

In this paper, we investigate the properties of curves of constant breadth in a 3-dimensional Lie group. Also, we find the condition of general helix as constant breadth curves and construct constant breadth curves which the tangent component of the curve vanishes.