Two remarks about Ma\~n\'e's conjecture
Abstract
We prove that Ma\~n\'e's conjecture, as stated in Lagrangian flows: the dynamics of globally minimizing orbits, Bol. Soc. Brasil. Mat. (N.S.) 28 (1997), no. 2, 141--153, contains another conjecture of Ma\~n\'e, stated in Generic properties and problems of minimizing measures of Lagrangian systems Nonlinearity 9 (1996) 273-310.
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