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The Lorentzian Lichnerowicz Conjecture for real-analytic, three-dimensional manifolds

Published 16 Aug 2021 in math.DG | (2108.07215v1)

Abstract: Given a compact, three-dimensional, real-analytic Lorentzian manifold $(M,g)$, we prove that the identity component of the conformal group preserves a metric in the conformal class $[g]$, or $(M,g)$ is conformally flat.

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