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
DOI to cite this document:: 10.5283/epub.24476

Bernard, Yann ; Finster, Felix

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Date of publication of this fulltext: 22 May 2012 08:40

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Item type:	Monograph (Working Paper)
Series of the University of Regensburg:	Preprintreihe der Fakultät Mathematik
Volume:	11/2012
Date:	2012
Institutions:	Mathematics > Prof. Dr. Felix Finster
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Unknown
Refereed:	No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:	Yes
Item ID:	24476

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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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