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JOURNALS // Regular and Chaotic Dynamics // Archive
Regul. Chaotic Dyn., 2010 Volume 15, Issue 6, Pages 646–651 (Mi rcd523)
Two remarks about Mañé's conjecture

D. Massart

Département de Mathématiques, Université Montpellier 2, Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier Cedex, France

Abstract: We consider Mañé's conjectures and prove that the one he made in [1] is stronger than the one he made in [2]. Then we prove that the most straightforward approach to prove the strong conjecture doesn’t work in the $C^4$ topology.

Keywords: Lagrangian dynamics, minimizing measures.

MSC: 37J50, 70H20, 35F20, 49Q20

Received: 28.12.2009
Accepted: 23.02.2010

Language: English

DOI: 10.1134/S1560354710510155



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