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Groups of symmetries of geodesic flows on closed surfaces

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Literature cited

  1. V. V. Kozlov, “Topological obstructions to integrability of natural mechanical systems,” Dokl. Akad. Nauk SSSR,249, No. 6, 1299–1302 (1979).

    Google Scholar 

  2. D. V. Anosov, “Geodesic flows on closed Riemannian manifolds of negative curvature,” Tr. Mat. Inst. Akad. Nauk (MIAN),90, (1967).

  3. V. V. Kozlov, “Groups of symmetries of dynamical systems,” PMM,52, No. 4, 531–541 (1988).

    Google Scholar 

  4. A. N. Kolmogorov, “Dynamical systems with integral invariant on the torus,” Dokl. Akad. Nauk SSSR,93, 763–766 (1953).

    Google Scholar 

  5. G. Birkoff, Dynamical Systems [Russian translation], Gostekhizdat, Moscow-Léningrad (1941).

    Google Scholar 

  6. V. N. Kolokol'tsov, “Geodesic flows on two-dimensional manifolds with supplementary first integral polynomial in the velocities,” Izv. Akad. Nauk SSSR, Ser. Mat.,46, No. 5, 994–1010 (1982).

    Google Scholar 

  7. S. V. Bolotin, “Nonintegrability of the problem of n centers for n > 2,” Vestn., Moscow State University, Ser. 1, Mat. Mekhan., No. 3, 65–68 (1984).

    Google Scholar 

  8. I. A. Taimanov, “Topological properties of integrable geodesic flows,” Mat. Zametki,44, No. 2, 283–284 (1988).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 48, No. 5, pp. 62–67, November, 1990.

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Kozlov, V.V. Groups of symmetries of geodesic flows on closed surfaces. Mathematical Notes of the Academy of Sciences of the USSR 48, 1119–1122 (1990). https://doi.org/10.1007/BF01236297

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