Aubry-Mather Theory for Lorentzian Manifolds
Differential Geometry
2019-05-17 v2 Dynamical Systems
Abstract
We introduce a version of Aubry-Mather theory for the length functional of causal curves in compact Lorentzian manifolds. Results include the existence of maximal invariant measures, calibrations and calibrated curves. We prove two versions of the Mather's graph theorem. A class of examples, the Lorentzian Hedlund examples, shows the optimality of the obtained results.
Keywords
Cite
@article{arxiv.1102.1386,
title = {Aubry-Mather Theory for Lorentzian Manifolds},
author = {Stefan Suhr},
journal= {arXiv preprint arXiv:1102.1386},
year = {2019}
}
Comments
v2: text reorganized