Completeness of certain compact Lorentzian locally symmetric spaces

被引：0
|
作者：
Leistner, Thomas [1 ]
Munn, Thomas [2 ]
机构：
[1] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, Australia
[2] Lund Univ, Fac Sci, Ctr Math Sci, Box 118, S-22100 Lund, Sweden
来源：
COMPTES RENDUS MATHEMATIQUE | 2023年 / 361卷 / 01期
基金：
澳大利亚研究理事会;
关键词：
Lorentzian manifolds; Lorentzian symmetric spaces; geodesic completeness; MANIFOLDS; HOLONOMY;
D O I：
10.5802/crmath.449
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 Sanchez.
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页码：819 / 824
页数：6
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