On the initial value problem for causal variational principles

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چکیده

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On the Support of Minimizers of Causal Variational Principles

A class of causal variational principles on a compact manifold is introduced and analyzed both numerically and analytically. It is proved under general assumptions that the support of a minimizing measure is either completely timelike, or it is singular in the sense that its interior is empty. In the examples of the circle, the sphere and certain flag manifolds, the general results are suppleme...

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ژورنال

عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)

سال: 2017

ISSN: 0075-4102,1435-5345

DOI: 10.1515/crelle-2014-0080