Spherical Cyclic Motions in Euclidean Space E3
arXiv:1204.3269
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.
This paper has been withdrawn by the author due to a crucial sign error in some Theorems