Calculus of Variations and Geometric Measure Theory
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R. Rios-Zertuche

Weak KAM theory in higher-dimensional holonomic measure flows

created by rios-zertuche on 06 Feb 2019

[BibTeX]

preprint

Inserted: 6 feb 2019

Year: 2019

ArXiv: 1901.08181 PDF

Abstract:

We construct a weak KAM theory for higher-dimensional holonomic measures. We define their slices and curves of those slices. We find a weak KAM solution in that context, and we show that in many cases it corresponds to an exact form that satisfies a version of the Hamilton-Jacobi equation. Along the way, we give a characterization of minimizable Lagrangians, as well as some abstract weak KAM machinery.

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