实解析三维流形的Lorentzian Lichnerowicz猜想

IF 1.2 1区数学 Q1 MATHEMATICS

Journal fur die Reine und Angewandte Mathematik Pub Date : 2021-08-16 DOI:10.1515/crelle-2023-0053

C. Frances, K. Melnick

引用次数: 7

摘要

摘要证明了对于紧致三维实解析洛伦兹流形，如果共形变换组在共形类中不保留任何度规，则该度规是共形平坦的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

Abstract We prove that, for a compact, 3-dimensional, real-analytic, Lorentzian manifold, if the group of conformal transformations does not preserve any metric in the conformal class, then the metric is conformally flat.

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来源期刊

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.