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• W3102148942 abstract "We show that in the analytic category, given a Riemannian metric $g$ on a hypersurface $Msubset Z$ and a symmetric tensor $W$ on $M$, 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 in the real analytic category and give an affirmative answer to a question raised in Bar, Gauduchon, Moroianu (2005). We also answer negatively the corresponding questions in the smooth category." @default.
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• W3102148942 date "2013-04-16" @default.
• W3102148942 modified "2023-09-25" @default.
• W3102148942 title "The Cauchy Problems for Einstein Metrics and Parallel Spinors" @default.
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• W3102148942 doi "https://doi.org/10.1007/s00220-013-1714-1" @default.
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