Two remarks about Mañé's conjecture

Details Two remarks about Mañé's conjecture Two remarks about Mañé's conjecture

2009-09-18

arxiv.org/abs/0909.3378v1

Regular and Chaotic Dynamics Volume 15, Number 6, 646-651, 2010

Mathematics

Dynamical Systems

Scientific paper

We prove that Ma\~n\'e's conjecture, as stated in {\em 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
{\em Generic properties and problems of minimizing measures of Lagrangian
systems} Nonlinearity 9 (1996) 273-310.

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