摘要
Mane conjectured that every minimal measure in the generic Lagrangian systems is uniquely ergodic. In this paper, we will show that the answer to the Mane's conjecture is negative by analyzing the structure of the supports of minimal probability measures for some kinds of the Lagrangian systems.
Ma(n)é conjectured that every minimal measure in the generic Lagrangian systems is by analyzing the structure of the supports of minimal probability measures for some kinds of the Lagrangian systems.