Aubry-Mather theory and Lipschitz continuity of the time separation

Stefan Suhr

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arXiv · 1104.3849

Aubry-Mather theory and Lipschitz continuity of the time separation

Stefan Suhr

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Abstract

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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Stefan Suhr. 2011-04-19. Aubry-Mather theory and Lipschitz continuity of the time separation. https://arxiv.org/abs/1104.3849

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