Ammann, Bernd and Moroianu, Andrei and Moroianu, Sergiu (2011) The Cauchy problem for metrics with parallel spinors. Preprintreihe der Fakultät Mathematik 35/2011, Working Paper.
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 ...
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|Item Type:||Monograph (Working Paper)|
|Institutions:||Mathematics > Prof. Dr. Bernd Ammann|
|Keywords:||Cauchy problem, parallel spinors, generalized Killing spinors, Ricci-flat metrics|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||19 Dec 2011 10:07|
|Last Modified:||13 Mar 2014 18:19|