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The Cauchy problem for metrics with parallel spinors

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.

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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 ...

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Item Type:Monograph (Working Paper)
Date:2011
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Classification:
NotationType
35A10MSC
35J47MSC
53C27MSC
53C44MSC
83C05MSC
Keywords:Cauchy problem, parallel spinors, generalized Killing spinors, Ricci-flat metrics
Subjects: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
Owner: Universitätsbibliothek Regensburg
Deposited On:19 Dec 2011 10:07
Last Modified:13 Mar 2014 18:19
Item ID:23002
Owner Only: item control page
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