A GENERIC PROPERTY OF EXACT MAGNETIC LAGRANGIANS

作者：Dias Carneiro, Mario Jorge; Rocha, Alexandre

来源：Discrete and Continuous Dynamical Systems, 2012, 32(12): 4183-4194.

DOI：10.3934/dcds.2012.32.4183

• Mather's theory
• exact magnetic Lagrangian
• ergodic minimizing measure
• generic property
• static class

We prove that for the set of Exact Magnetic Lagrangians the property "There exist finitely many static classes for every cohomology class" is generic. We also prove some dynamical consequences of this property.

• 出版日期2012-12
• 单位中国林业科学研究院