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Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2009

Vertices of Mather's Beta function, II

Résumé

If the $\beta$-function of a time-periodic Lagrangian on a manifold $M$ has a vertex at a $k$-irrational homology class $h$, then $2k \leq \dim M$. Furthermore if $\dim M =2$ $h$ is rational.

Dates et versions

hal-00118066 , version 1 (04-12-2006)

Identifiants

Citer

Daniel Massart. Vertices of Mather's Beta function, II. Ergodic Theory and Dynamical Systems, 2009, 29 (04), pp.1289-1307. ⟨10.1017/S0143385708000631⟩. ⟨hal-00118066⟩
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