Spherical Cyclic Motions in Euclidean Space E3
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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2012
- DOI:
- 10.48550/arXiv.1204.3269
- arXiv:
- arXiv:1204.3269
- Bibcode:
- 2012arXiv1204.3269J
- Keywords:
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- Mathematical Physics;
- 15A33
- E-Print:
- This paper has been withdrawn by the author due to a crucial sign error in some Theorems