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arXiv · 2108.07215

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

Charles Frances·Karin Melnick
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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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Charles Frances, Karin Melnick. 2021-08-16. The Lorentzian Lichnerowicz Conjecture for real-analytic, three-dimensional manifolds. https://arxiv.org/abs/2108.07215

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