Abstract
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.
- Title
- Vertices of Mather's Beta function, II
- Creators - without role
- Daniel Massart - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
- Publication Details
- Ergodic Theory and Dynamical Systems, Vol.29(04), pp.1289-1307
- Identifiers
- 9945490509311
- Academic Unit
- Institut Montpelliérain Alexander Grothendieck - IMAG
- Language
- English
- Resource Type
- Journal article
- Local Fields
- hal-00118066