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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 (Unpublished)Date of publication of this fulltext: 18 Apr 2011 06:52
Monograph
DOI to cite this document: 10.5283/epub.20510
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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Details
| Item type | Monograph (Working Paper) |
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
|---|---|
| Volume: | 8/2011 |
| 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| Status | Unpublished |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 |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-205106 |
| Item ID | 20510 |
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