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Les variétés riemanniennes de dimension quatre 4 / 19 pincées

Marina Ville — 1989

Annales de l'institut Fourier

Nous montrons qu’une variété riemannienne de dimension 4 orientable dont la courbure sectionnelle est 4/19-pincée est homéomorphe à la sphère S 4 ou au projectif ℂ P 2 . La preuve utilise une inégalité entre les nombres caractéristiques qui découle d’estimées sur le tenseur de courbure.

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