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On montre qu’une 2-forme non nulle sur une variété , telle que le pseudogroupe des difféomorphismes locaux la préservant soit transitif sur le fibré des directions tangentes, est symplectique si la dimension de n’est pas . De plus, il y a un contre-exemple en dimension 6, dont on montre qu’il est essentiellement unique.
In this note, the octonion multiplication table is recovered from a regular tesselation of the equilateral two timensional torus by seven hexagons, also known as Heawood’s map.
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