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Forte souplesse intersystolique de variétés fermées et de polyèdres

Ivan K. Babenko — 2002

Annales de l’institut Fourier

La systole k -dimensionnelle d’une variété riemannienne de dimension n a été introduite par M. Berger en 1972. Le problème de la souplesse intersystolique (ou ( k , n - k ) -souplesse) d’une variété M est l’étude de la borne supérieure du produit de deux systoles de dimensions complémentaires k et n - k si on change la métrique sur M dans la classe des métriques de volume 1 . La souplesse intersystolique de M signifie que cette borne supérieure est égale à . Quelques résultats particuliers dans cette direction ont...

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