Geodesic
Realization of geodesic flows with a linear first integral by billiards with slipping
Sbornik. Mathematics, Tome 213 (2022) no. 12, pp. 1645-1664 Cet article a éte moissonné depuis la source Math-Net.Ru

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An arbitrary geodesic flow on the projective plane or Klein bottle with an additional, linear in the momentum, first integral is modelled using billiards with slipping on table complexes. The requisite table of a circular topological billiard with slipping is constructed algorithmically. Furthermore, linear integrals of geodesic flows can be reduced to the same canonical integral of a circular planar billiard. Bibliography: 36 titles.
Keywords: integrable system, geodesic flow, topological invariant.
Mots-clés : billiard, Liouville foliation 
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V. V. Vedyushkina; V. N. Zav'yalov. Realization of geodesic flows with a linear first integral by billiards with slipping. Sbornik. Mathematics, Tome 213 (2022) no. 12, pp. 1645-1664. http://geodesic.mathdoc.fr/item/SM_2022_213_12_a1/

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