Differentiability of Mather's β-function vs Mañé's conjecture
Massart, Daniel
Original · EN
We prove that if a time-periodic Tonelli Lagrangian on a closed manifold M satisfies a strong version of the Differentiability Problem for Mather's β-function, then the Legendre transforms of rational homology classes are dense in the first cohomology of M, which is a first step towards Mañé's conjecture.
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