紧致单连通洛伦兹流形的保角群

IF 3.5 1区数学 Q1 MATHEMATICS

Journal of the American Mathematical Society Pub Date : 2019-11-14 DOI:10.1090/JAMS/976

K. Melnick, V. Pecastaing

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引用次数: 8

摘要

我们证明了闭的、单连通的实解析洛伦兹流形的保角群是紧致的。D’Ambra在1988年证明了这样一个流形的等距群是紧致的。我们的结果暗示了具有有限基群的实解析洛伦兹流形的洛伦兹Lichnerowicz猜想。第二个版本增加了一些澄清和更正。

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The conformal group of a compact simply connected Lorentzian manifold

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. Second version adds some clarifications and corrections.

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来源期刊

Journal of the American Mathematical Society 数学-数学

CiteScore

7.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics.