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Length maximizing invariant measures in Lorentzian geometry

Suhr, Stefan (2011) Length maximizing invariant measures in Lorentzian geometry. Preprintreihe der Fakultät Mathematik 8/2011, Working Paper. (Unpublished)

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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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2011
Institutions:Mathematics > Prof. Dr. Felix Finster
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Deposited on:18 Apr 2011 06:52
Last modified:13 Mar 2014 17:15
Item ID:20510
Owner only: item control page

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