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Classification des actions hamiltoniennes complétement intégrables de rang deux

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Abstract

On montre que grâce à un thérème de F. C. Kirwan, on connait toutes les variétés symplectiques compactes munies d'une action hamiltonienne complètement intégrable (au sens de Mischenko et Fomenko) d'un groupe compact de rang deux.

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Delzant, T. Classification des actions hamiltoniennes complétement intégrables de rang deux. Ann Glob Anal Geom 8, 87–112 (1990). https://doi.org/10.1007/BF00055020

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