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- URN zum Zitieren dieses Dokuments:
- urn:nbn:de:bvb:355-epub-230029
- DOI zum Zitieren dieses Dokuments:
- 10.5283/epub.23002
Zusammenfassung
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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