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.
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.
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Soumis le : lundi 4 décembre 2006-11:01:07
Dernière modification le : lundi 22 avril 2024-17:06:16