A New Approach to Non-lightlike Curve Pairs

Zehra Ekinci; Mehmet Önder

A New Approach to Non-lightlike Curve Pairs

Differential Geometry 2021-12-07 v2

Authors: Zehra Ekinci , Mehmet Önder

Abstract

In this paper, we introduce a new approach to non-lightlike curve pairs by using integral curves in Minkowski 3-space. We consider direction curve and donor curve to study non-lightlike curve couples such as involute-evolute curves, Mannheim partner curves and Bertrand partner curves. We obtain new methods to construct partner curves of a unit speed non-lightlike curve and give some applications related to helices and slant helices.

Keywords

non-lightlike curves curve pairs Minkowski 3-space integral curves partner curves helices slant helices

Cite

@article{arxiv.1704.04978,
  title  = {A New Approach to Non-lightlike Curve Pairs},
  author = {Zehra Ekinci and Mehmet Önder},
  journal= {arXiv preprint arXiv:1704.04978},
  year   = {2021}
}

Comments

14 pages

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