Differentiability of Mather’s Beta Function in Low Dimensions
نویسنده
چکیده
Let L be a time-periodic Tonelli Lagrangian on a closed manifold of dimension two. Then the β-function of L is differentiable in at least k directions at any k-irrational homology class. The same result holds when L is an autonomous mechanical Lagrangian with a C potential on a closed manifold of dimension three.
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