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2. Mather-Mañé theory

  • Karl Friedrich SiburgEmail author
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1844)

Contents.

  • 2.1 Mather’s minimal action
    • 2.1.1 The minimal action for convex Lagrangians

    • 2.1.2 A bit of symplectic geometry

    • 2.1.3 Invariant tori and the minimal action

  • 2.2 Mañé’s critical value
    • 2.2.1 The critical value for convex Lagrangians

    • 2.2.2 Weak KAM solutions

    • 2.2.3 The Aubry set

Mathematics Subject Classification (2000):

37J 53D 58E 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Fakultät für MathematikRuhr-Universität BochumBochumGermany

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