CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe consider the anti-de Sitter space $H_3^1$ and the hyperbolic Hopf fibration $h : H_3^1 (1) o H_2(1)$. Using their description in terms of paraquaternions, we study the magnetic curves of the hyperbolic Hopf vector field. A complete classification is obtained for light-like magnetic curves, showing in particular the existence of periodic examples, and emphasizing their relationship with the hyperbolic Hopf fibration. Finally, we give a new interpretation of magnetic curves in $H^3_1$ using some techniques of Lie groups and Lie algebras.
| Titolo: | Hopf magnetic curves in the anti-de Sitter space ℍ31 |
| Autori: | |
| Data di pubblicazione: | 2018 |
| Rivista: | |
| Abstract: | We consider the anti-de Sitter space $H_3^1$ and the hyperbolic Hopf fibration $h : H_3^1 (1) o H_2(1)$. Using their description in terms of paraquaternions, we study the magnetic curves of the hyperbolic Hopf vector field. A complete classification is obtained for light-like magnetic curves, showing in particular the existence of periodic examples, and emphasizing their relationship with the hyperbolic Hopf fibration. Finally, we give a new interpretation of magnetic curves in $H^3_1$ using some techniques of Lie groups and Lie algebras. |
| Handle: | http://hdl.handle.net/11587/427126 |
| Appare nelle tipologie: | Articolo pubblicato su Rivista |
File in questo prodotto:
http://hdl.handle.net/11587/427126
Copyright © 2021