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Einstein constraints on n dimensional compact manifolds

Yvonne Choquet-Bruhat
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Abstract

We give a general survey of the solution of the Einstein constraints by the conformal method on n dimensional compact manifolds. We prove some new results about solutions with low regularity (solutions in $H_{2}$ when n=3), and solutions with unscaled sources.

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Yvonne Choquet-Bruhat. 2003-11-08. Einstein constraints on n dimensional compact manifolds. https://arxiv.org/abs/gr-qc/0311029

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