Ruled Surfaces according to Rotation Minimizing Frame
Differential Geometry
2014-07-02 v1
Abstract
In this paper, we investigate the ruled surfaces generated by a straight line according to rotation minimizing frame (RMF). Using this frame of a straight line, we obtained the necessary and sufficient conditions when the ruled surface is developable. Also, we give some new results and theorems related to be the asymptotic curve, the geodesic curve and the line of curvature of the base curve on the ruled surface.
Cite
@article{arxiv.1407.0137,
title = {Ruled Surfaces according to Rotation Minimizing Frame},
author = {Fatma Güler and Emin Kasap},
journal= {arXiv preprint arXiv:1407.0137},
year = {2014}
}
Comments
10 pages, 2 Figures