Geodesic
Topology of integrable billiard in an ellipse on the Minkowski plane with the Hooke potential
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2022), pp. 8-19
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The integrability of billiards bounded by arcs of confocal quadrics in the Minkowski plane in a field with the Hooke potential is obtained. The case of this type of a billiard in an ellipse is studied in detail. The topology of Liouville foliations arising in this problem is also studied and Fomenko invariants are also constructed. 
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V. V. Vedyushkina; A. I. Skvortsov. Topology of integrable billiard in an ellipse on the Minkowski plane with the Hooke potential. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2022), pp. 8-19. http://geodesic.mathdoc.fr/item/VMUMM_2022_1_a1/

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