Aubry-Mather theory and Lipschitz continuity of the time separation

Details Aubry-Mather theory and Lipschitz continuity of the time separation Aubry-Mather theory and Lipschitz continuity of the time separation

2011-04-19

arxiv.org/abs/1104.3849v1

Mathematics

Differential Geometry

Scientific paper

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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