Ruled surfaces according to alternative moving frame
Differential Geometry
2019-10-16 v1
Abstract
In this paper, we define a new type of ruled surface called ruled surface by using the alternative frame of a base curve. Then, we study its differential geometric properties such as striction line, distribution parameter, fundamental forms, Gaussian and mean curvatures. Moreover, we find geodesic curvatures, normal curvatures, and geodesic torsions of the base curve and the striction line of the new ruled surface. Finally, we give two related examples.
Cite
@article{arxiv.1910.06589,
title = {Ruled surfaces according to alternative moving frame},
author = {Burak Sahiner},
journal= {arXiv preprint arXiv:1910.06589},
year = {2019}
}
Comments
16 pages, 5 figures