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Construction of Initial Data Sets for Lorentzian Manifolds with Lightlike Parallel Spinors

URN to cite this document:
urn:nbn:de:bvb:355-epub-477571
DOI to cite this document:
10.5283/epub.47757
Ammann, Bernd ; Kröncke, Klaus ; Müller, Olaf
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Date of publication of this fulltext: 05 Aug 2021 04:27


Abstract

Lorentzian manifolds with parallel spinors are important objects of study in several branches of geometry, analysis and mathematical physics. Their Cauchy problem has recently been discussed by Baum, Leistner and Lischewski, who proved that the problem locally has a unique solution up to diffeomorphisms, provided that the intial data given on a space-like hypersurface satisfy some constraint ...

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