On Mannheim Partner Curves of $AW(k)-$type

Soley Ersoy; Melek Masal; Murat Tosun

On Mannheim Partner Curves of $AW(k)-$type

Differential Geometry 2014-03-27 v5

Authors: Soley Ersoy , Melek Masal , Murat Tosun

Abstract

In this study, firstly, Mannheim curves with $\kappa_1 (s) \ne 0$ , $\kappa_2 (s) \ne 0$ are considered and the conditions are obtained for Mannheim curve to be slant helix. Moreover, the necessary and sufficient conditions are investigated for Mannheim curve to be AW(2), AW(3) and weak AW(2)-types, respectively. Lastly, it is shown that there is no such a Mannheim curve of AW(1)-type.

Keywords

mannheim curves slant helix AW(k)-type curves curvature conditions differential geometry of curves

Cite

@article{arxiv.1001.1267,
  title  = {On Mannheim Partner Curves of $AW(k)-$type},
  author = {Soley Ersoy and Melek Masal and Murat Tosun},
  journal= {arXiv preprint arXiv:1001.1267},
  year   = {2014}
}

Comments

This paper has been withdrawn by the author

Related papers

View all related →