The nonabelian Liouville-Arnold integrability by quadratures problem: a
  symplectic approach

Abraham R.; Ankiewicz A.; Basarab-Horwath P.; Blackmore D.; Cartan E.; Duistermaat J.J.; Kobayashi S.; Kopych M.; Kozlov V.V.; Kummer M.; Marsden J.; Mishchenko A.S.; Newlander A.; Niekhoroshev N.N.; Prykarpatsky A.; Prykarpatsky Ya.A.; Rauch-Wojciechowski S.; Ravoson V.; Roekaerts D.; Salerno M.; Satzer W.J.; Souriau J.-M.; Wells R.O.; Zakrzewski S.; Zverovich E.

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The nonabelian Liouville-Arnold integrability by quadratures problem: a symplectic approach

Authors: Abraham R.
Ankiewicz A.
Basarab-Horwath P.
Blackmore D.
Cartan E.
Duistermaat J.J.
Kobayashi S.
Kopych M.
Kozlov V.V.
Kummer M.
Marsden J.
Mishchenko A.S.
Newlander A.
Niekhoroshev N.N.
Prykarpatsky A.
Prykarpatsky Ya.A.
Rauch-Wojciechowski S.
Ravoson V.
Roekaerts D.
Salerno M.
Satzer W.J.
Souriau J.-M.
Wells R.O.
Zakrzewski S.
Zverovich E.
Publication date: 1 January 1999
Publisher: 'Atlantis Press'
Doi

Abstract

A symplectic theory approach is devised for solving the problem of algebraic-analytical construction of integral submanifold imbeddings for integrable (via the nonabelian Liouville-Arnold theorem) Hamiltonian systems on canonically symplectic phase spaces

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