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On donne une construction de formes de contact sur toute variété décomposable en somme connexe de variétés de contact en toute dimension.
La systole -dimensionnelle d’une variété riemannienne de dimension a été
introduite par M. Berger en 1972. Le problème de la souplesse intersystolique (ou -souplesse) d’une variété est l’étude de la borne supérieure du produit de deux
systoles de dimensions complémentaires et si on change la métrique sur dans
la classe des métriques de volume . La souplesse intersystolique de signifie que
cette borne supérieure est égale à . Quelques résultats particuliers dans cette
direction ont...
We introduce a notion of a Fox pairing in a group algebra and use Fox pairings to define automorphisms of the Malcev completions of groups. These automorphisms generalize to the algebraic setting the action of the Dehn twists in the group algebras of the fundamental groups of surfaces. This work is inspired by the Kawazumi–Kuno generalization of the Dehn twists to non-simple closed curves on surfaces.
In this paper, we extend to automorphisms of free groups some results and constructions that classically hold for morphisms of the free monoid, i.e., the so-called substitutions. A geometric representation of the attractive lamination of a class of automorphisms of the free group (irreducible with irreducible powers (iwip) automorphisms) is given in the case where the dilation coefficient of the automorphism is a unit Pisot number. The shift map associated with the attractive symbolic lamination...
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