The conformal group of a compact simply connected Lorentzian manifold

Melnick, Karin; Pecastaing, Vincent

doi:10.1090/jams/976

The conformal group of a compact simply connected Lorentzian manifold
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by Karin Melnick and Vincent Pecastaing

J. Amer. Math. Soc. 35 (2022), 81-122

DOI: https://doi.org/10.1090/jams/976

Published electronically: July 12, 2021

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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 [Invent. Math. 92 (1988), pp. 555–565]. Our result implies the Lorentzian Lichnerowicz Conjecture for real analytic Lorentzian manifolds with finite fundamental group.

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