Case Courrier 051, Place Eug`ene Bataillon, 34095 Montpellier Cedex, France
Departement de Mathematiques, Universite ontpellier 2
Two remarks about Mañé's conjecture
2010, vol. 15, no. 6, pp. 646-651
We consider Mañé's conjectures and prove that the one he made in  is stronger than the one he made in . Then we prove that the most straightforward approach to prove the strong conjecture doesn’t work in the $C^4$ topology.