Weak KAM theory for subriemannian Lagrangians

2022/01/03 by Héctor Sánchez-Morgado, Morgado, Hector Sanchez
Mathematics · Computer Science · Physics and Astronomy · #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2201.00843

Abstract

We extend weak KAM theory to Lagrangians that are defined only on the horizontal distribution of a sub-Riemannian manifold. The main tool is Tonelli's theorem which allows dispending on a Lagrangian dynamics.

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