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On the structure of minimizers of causal variational principles in the non-compact and equivariant settings

URN to cite this document:
urn:nbn:de:bvb:355-epub-244764
Bernard, Yann ; Finster, Felix
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Date of publication of this fulltext: 22 May 2012 08:40


Abstract

We derive the Euler-Lagrange equations for minimizers of causal variational principles in the non-compact setting with constraints, possibly prescribing symmetries. Considering first variations, we show that the minimizing measure is supported on the intersection of a hyperplane with a level set of a function which is homogeneous of degree two. Moreover, we perform second variations to ...

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