某些紧仑兹局部对称空间的完备性

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2023-05-11 DOI:10.5802/crmath.449

Thomas Leistner, Thomas Munn

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引用次数: 0

摘要

我们证明，如果局部de Rham-Wu分解中的洛伦兹因子是Cahen-Wallach型的，或者最大平坦因子是一维类时的，则紧致洛伦兹局部对称空间是测地线完备的。我们的证明使用了Mehidi和Zeghib最近的一个结果，以及Romero和Sánchez早先的一个结果。

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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Completeness of certain compact Lorentzian locally symmetric spaces

We show that a compact Lorentzian locally symmetric space is geodesically complete if the Lorentzian factor in the local de Rham–Wu decomposition is of Cahen–Wallach type or if the maximal flat factor is one-dimensional and time-like. Our proof uses a recent result by Mehidi and Zeghib and an earlier result by Romero and Sánchez.

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来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.