Einstein constraints on n dimensional compact manifolds

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Article for the volume "Space time safari" in honor of Vincent Moncrief

Scientific paper

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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