Completeness of certain compact Lorentzian locally symmetric spaces

Thomas Leistner; Thomas Munn

doi:10.5802/crmath.449

Completeness of certain compact Lorentzian locally symmetric spaces

Thomas Leistner, Thomas Munn

Mathematics (Faculty of Sciences)

University of Adelaide

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	819-824
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	361
DOIs	https://doi.org/10.5802/crmath.449
Publication status	Published - 2023

Subject classification (UKÄ)

Mathematical Analysis

Free keywords

geodesic completeness
Lorentzian manifolds
Lorentzian symmetric spaces

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10.5802/crmath.449Licence: CC BY

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title = "Completeness of certain compact Lorentzian locally symmetric spaces",

abstract = "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 S{\'a}nchez.",

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author = "Thomas Leistner and Thomas Munn",

year = "2023",

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language = "English",

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TY - JOUR

T1 - Completeness of certain compact Lorentzian locally symmetric spaces

AU - Leistner, Thomas

AU - Munn, Thomas

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - geodesic completeness

KW - Lorentzian manifolds

KW - Lorentzian symmetric spaces

UR - https://www.scopus.com/pages/publications/85163296964

U2 - 10.5802/crmath.449

DO - 10.5802/crmath.449

M3 - Article

AN - SCOPUS:85163296964

SN - 1631-073X

VL - 361

SP - 819

EP - 824

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

ER -

Completeness of certain compact Lorentzian locally symmetric spaces

Abstract

Subject classification (UKÄ)

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