Spherical Cyclic Motions in Euclidean Space E3
Mathematical Physics
2017-03-10 v3 math.MP
Abstract
By considering a spatial curve in a Euclidean space, we use its components, together with attaining a cyclic matrix, to show that this matrix is homothetic too and is in correspondence with a homothetic motion. Furthermore, if the curve lies on a unit sphere, then the motion is a spherical cyclic motion.
Cite
@article{arxiv.1204.3269,
title = {Spherical Cyclic Motions in Euclidean Space E3},
author = {Mehdi Jafari and Yusuf Yayli},
journal= {arXiv preprint arXiv:1204.3269},
year = {2017}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error in some Theorems