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arXiv · 1901.08181

Weak KAM theory in higher-dimensional holonomic measure flows

Rodolfo Rios-Zertuche
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Abstract

We construct a weak KAM theory for parameterized cobordisms and their relaxation, holonomic measures. 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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Rodolfo Rios-Zertuche. 2025-07-07. Weak KAM theory in higher-dimensional holonomic measure flows. https://arxiv.org/abs/1901.08181

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