1204.3269 (Mehdi Jafari et al.)

Spherical Cyclic Motions in Euclidean Space E3    [PDF]

Mehdi Jafari, Yusuf Yayli

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.

View original: http://arxiv.org/abs/1204.3269