Details

Autor(en) / Beteiligte

• Calvaruso, Giovanni
• Munteanu, Marian Ioan

Titel

Hopf magnetic curves in the anti-de Sitter space ℍ13

Ist Teil von

• Journal of nonlinear mathematical physics, 2018, Vol.25 (3), p.462-484

Ort / Verlag

Dordrecht: Springer Netherlands

Erscheinungsjahr

2018

Link zum Volltext

Quelle

Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals

Beschreibungen/Notizen

• We consider the anti-de Sitter space ℍ 1 3 and the hyperbolic Hopf fibration h : ℍ 1 3 (1)→ℍ 2 (1/2). 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 1 3 using some techniques of Lie groups and Lie algebras.