no. 1
On the tangent cones of Aubry sets
Zhang, Ke1
1 Department of Mathematics, University of Toronto, Ontario M5S2E4, Canada
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 29 (2020) no. 1, pp. 27-38.

Nous montrons que le cône paratangent de l’ensemble d’Aubry du Hamiltonien de Tonelli est contenu dans un cône borné par les fibrés de Green. Notre résultat améliore un résultat précédent de M.-C. Arnaud sur les cônes tangents des ensembles d’Aubry.

We show that the paratingent cone of the Aubry set of the Tonelli Hamiltonian is contained in a cone bounded by the Green bundles. Our result improves the earlier result of M.-C. Arnaud on tangent cones of the Aubry sets.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/afst.1621
Classification : 37J50, 37J05
Mots clés : Tonelli Hamiltonian, Mather theory, Aubry set, weak KAM theory, Green bundles, tangent cones
Zhang, Ke 1

1 Department of Mathematics, University of Toronto, Ontario M5S2E4, Canada 
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Zhang, Ke. On the tangent cones of Aubry sets. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 29 (2020) no. 1, pp. 27-38. doi : 10.5802/afst.1621. http://www.numdam.org/articles/10.5802/afst.1621/

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