Legendre curves and singularities of a ruled surface according to rotation minimizing frame
Differential Geometry
2021-05-18 v2
Abstract
In this paper, Legendre curves on unit tangent bundle are given using rotation minimizing (RM) vector fields. Ruled surfaces corresponding to these curves are represented. Singularities of these ruled surfaces are also analyzed and classifed.
Cite
@article{arxiv.1706.05321,
title = {Legendre curves and singularities of a ruled surface according to rotation minimizing frame},
author = {Murat Bekar and Fouzi Hathout and Yusuf Yayli},
journal= {arXiv preprint arXiv:1706.05321},
year = {2021}
}
Comments
17 pages, 5 figures