The conformal group of a compact simply connected Lorentzian manifold,Journal of the American Mathematical Society

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The conformal group of a compact simply connected Lorentzian manifold
Journal of the American Mathematical Society ( IF 3.9 ) Pub Date : 2021-07-12 , DOI: 10.1090/jams/976
Karin Melnick , Vincent Pecastaing

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.

中文翻译：

紧单连通洛伦兹流形的共形群

摘要：我们证明了闭、单连通、实解析洛伦兹流形的共形群是紧的。D'Ambra 在 1988 年证明了这种流形的等距群是紧的 [发明。数学。92 (1988)，第 555-565 页]。我们的结果暗示了具有有限基本群的实解析洛伦兹流形的洛伦兹 Lichnerowicz 猜想。

更新日期：2021-07-12

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