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The Cauchy problem for metrics with parallel spinors

URN to cite this document:
urn:nbn:de:bvb:355-epub-230029
Ammann, Bernd ; Moroianu, Andrei ; Moroianu, Sergiu
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Date of publication of this fulltext: 19 Dec 2011 10:07


Abstract

We show that in the analytic category, given a Riemannian metric g on a hypersurfaceM � Z and a symmetric tensorW onM, the metric g can be locally extended to a Riemannian Einstein metric on Z with second fundamental form W, provided that g and W satisfy the constraints on M imposed by the contracted Codazzi equations. We use this fact to study the Cauchy problem for metrics with parallel spinors ...

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