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arXiv · 1911.06251

The conformal group of a compact simply connected Lorentzian manifold

Karin Melnick·Vincent Pecastaing
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Abstract

We prove that the conformal group of a closed, simply connected, real analytic Lorentzian manifold is compact. D'Ambra proved in 1988 that the isometry group of such a manifold is compact. Our result implies the Lorentzian Lichnerowicz Conjecture for real analytic Lorentzian manifolds with finite fundamental group. Third version includes corrections and clarifications, particularly in section 6.

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Karin Melnick, Vincent Pecastaing. 2019-11-14. The conformal group of a compact simply connected Lorentzian manifold. https://arxiv.org/abs/1911.06251

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