Construction of curve pairs and their applications
Differential Geometry
2017-01-18 v1
Abstract
In this study, we introduce a new approach to curve pairs by using integral curves. We consider the direction curve and donor curve to study 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 curve and give some applications related to helices, slant helices and plane curves.
Keywords
Cite
@article{arxiv.1701.04812,
title = {Construction of curve pairs and their applications},
author = {Mehmet Önder},
journal= {arXiv preprint arXiv:1701.04812},
year = {2017}
}