Ruled surface pair generated by a curve and its natural lift in R^3
Abstract
In this study, firstly, the Frenet vector fields T, N ,B of the naturallift bar{alpha} of a curve alpha are calculated in terms of those of alpha in R^3. Secondly, we obtained striction lines and distribution parameters of ruled surface pairgenerated by the curve alpha and its natural lift bar{alpha}. Finally, for alpha and bar{alpha} thosenotions are compared with each other.
Copyright © 2012 Evren Ergun, Mustafa Caliskan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
E. E. Mustafa Caliskan, Ruled surface pair generated by a curve and its natural lift in R^3, J. Math. Comput. Sci. 2 (2012), 1387–1400.
BibTeX
@article{Caliskan2012,
author = {Mustafa Caliskan, Evren Ergun,},
title = {Ruled surface pair generated by a curve and its natural lift in R^3},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {1387--1400},
doi = {}
}