Some Characterizations of Special Curves in the Euclidean Space $\mathrm{E}^4$
Differential Geometry
2009-07-31 v1
Abstract
In this work, first, we express some characterizations of helices and ccr curves in the Euclidean 4-space. Thereafter, relations among Frenet-Serret invariants of Bertrand curve of a helix are presented. Moreover, in the same space, some new characterizations of involute of a helix are presented.
Cite
@article{arxiv.0907.5268,
title = {Some Characterizations of Special Curves in the Euclidean Space $\mathrm{E}^4$},
author = {Melih Turgut and Ahmad T Ali},
journal= {arXiv preprint arXiv:0907.5268},
year = {2009}
}
Comments
11 pages only