Geodesic
On magnetostatics in the Lobachevsky Spac
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Tome 223 (2023), pp. 123-127 Cet article a éte moissonné depuis la source Math-Net.Ru

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An analog of the Biot–Savart law in the Lobachevsky space is obtained by a kinematic method. We find an expression for the Lorentz force in the case where a charge moves in electric and magnetic fields and prove the work is done only by electric forces. The Poynting theorem is proved and the cyclotron problem is solved.
Keywords: Lobachevsky space, magnetic field. 
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A. M. Trepalin. On magnetostatics in the Lobachevsky Spac. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Tome 223 (2023), pp. 123-127. http://geodesic.mathdoc.fr/item/INTO_2023_223_a11/

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