Spherical Cyclic Motions in Euclidean Space E3

Details Spherical Cyclic Motions in Euclidean Space E3 Spherical Cyclic Motions in Euclidean Space E3

2012-04-15

arxiv.org/abs/1204.3269v1

Physics

Mathematical Physics

Scientific paper

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.

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