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Length maximizing invariant measures in Lorentzian geometry

URN to cite this document:
urn:nbn:de:bvb:355-epub-205106
Suhr, Stefan
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Date of publication of this fulltext: 18 Apr 2011 06:52


Abstract

We introduce a version of Aubry-Mather theory for the length functional of causal curves in a compact Lorentzian manifold. Results include the existence of maximal invariant measures, calibrations and calibrated curves. We prove two versions of Mather’s graph theorem for Lorentzian manifolds. A class of examples (Lorentzian Hedlund examples) shows the optimality of the results.


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