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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.… Click to show full 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:
mather theory;
aubry mather;
theory lorentzian;
lorentzian manifolds
Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2019
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Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2019
Link to full text (if available)
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recommendations!