On Killing Magnetic Curves in the Hyperboloid Model of $\widetilde{\mathrm{SL}}(2,\mathbb{R})$ Geometry

A Killing magnetic curve is a trajectory of a charged particle on a Riemannian manifold under the action of a Killing magnetic field. In this paper we study Killing magnetic curves in the hyperboloid model of $\widetilde{\mathrm{SL}}(2,\mathbb{R})$ geometry.

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Bibliographic Details
Published inSarajevo journal of mathematics Vol. 20; no. 2; pp. 291 - 307
Main Authors Mihaela, Erjavec, Zlatko, Klemenčić, Damjan
Format Journal Article
LanguageEnglish
Published 14.04.2025
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Summary:A Killing magnetic curve is a trajectory of a charged particle on a Riemannian manifold under the action of a Killing magnetic field. In this paper we study Killing magnetic curves in the hyperboloid model of $\widetilde{\mathrm{SL}}(2,\mathbb{R})$ geometry.
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.20.02.11