Spherical Cyclic Motions in Euclidean Space E3
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.
- Pub Date:
- April 2012
- Mathematical Physics;
- This paper has been withdrawn by the author due to a crucial sign error in some Theorems