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Symplectic lie group actions

  • A. S. Mishchenko
  • A. T. Fomenko
Transformation Groups
Part of the Lecture Notes in Mathematics book series (LNM, volume 763)

Keywords

Euler Equation Symplectic Manifold Algebra Versus Singular Orbit Coadjoint Action 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. Marsden, A. Weinstein, Reports of Math.Ph. 5:1 (1974), 121–130.MathSciNetCrossRefGoogle Scholar
  2. 2.
    A.S. Mischenko, A.T. Fomenko, A generalized Liouville method for the integration of the Hamilton systems. Funk.Anal. and its appl., 1978, v. N.2.Google Scholar
  3. 3.
    M. Duflo et M. Vergne, C.R. Acad.Sc.Paris, 268 (1969), 583–585.MathSciNetGoogle Scholar
  4. 4.
    P. Bernat, N. Conze, M. Vergne, Representation de groupes de Lie résolubles. Paris, 1972.Google Scholar
  5. 5.
    A.S. Mischenko, A.T. Fomenko, The Euler equations on the finite-dimensional Lie groups. Izv.Akad.Nauk SSSR. Ser. math., 1978, N 3.Google Scholar
  6. 6.
    A.S. Mischenko, A.T. Fomenko. On the integration of the Euler equations on the semisimple Lie algebras. Dokl. Akad.Nauk. SSSR, 231:3, 1976, pp. 536–538.MathSciNetGoogle Scholar
  7. 7.
    S.V. Manakov, A note about the integration of the Euler equation of the dynamic of an n-dimensional rigid body. Funk.Anal. and its appl. v.10, N. 4 (1976), pp.93–94.MathSciNetGoogle Scholar
  8. 8.
    A.S. Mischenko, Funk.Anal. v. 4 N 3 (1970), 75–78.Google Scholar
  9. 9.
    L.A. Dikii, A note about the Hamilton system connected with the rotation group. Funk.Anal. and its appl. v 6, N 4, 1972.Google Scholar
  10. 10.
    M. Langlois, Contribution a l'étude du mouvement du corps rigide a N dimensions autour d'un point fixe. Thése présenté a la faculté des sciences de l'univ. de Besançon, 1971.Google Scholar
  11. 11.
    N.N. Nekhoroschev, The variables action-angle and their generalizations. Trudi MMO, v.26, 1972, pp.181–198.Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • A. S. Mishchenko
  • A. T. Fomenko

There are no affiliations available

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