Aubry-Mather theory and Lipschitz continuity of the time separation
classification
🧮 math.DG
math.DS
keywords
abelianaubry-matherclasscontinuitycoverlipschitzseparationspacetimes
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We consider Aubry-Mather theory for a subclass of class A spacetimes, i.e. compact vicious spacetimes with globally hyperbolic Abelian cover. In this subclass, called class A_1, we obtain improved results on timelike maximizers and Lipschitz continuity of the time separation of the Abelian cover on the i.g. optimal subsets.
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