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Displaying similar documents to “Formes hermitiennes canoniques des espaces homogènes complexes”

Une caractérisation des formes symplectiques

Bruno Sévennec (1998)

Annales de l'institut Fourier

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On montre qu’une 2-forme non nulle sur une variété M , telle que le pseudogroupe des difféomorphismes locaux la préservant soit transitif sur le fibré des directions tangentes, est symplectique si la dimension de M n’est pas 6 . De plus, il y a un contre-exemple en dimension 6, dont on montre qu’il est essentiellement unique.