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Completeness of certain compact Lorentzian locally symmetric spaces

Leistner, Thomas and Munn, Thomas LU (2023) In Comptes Rendus Mathematique 361. p.819-824
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.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
geodesic completeness, Lorentzian manifolds, Lorentzian symmetric spaces
in
Comptes Rendus Mathematique
volume
361
pages
6 pages
publisher
Elsevier
external identifiers
  • scopus:85163296964
ISSN
1631-073X
DOI
10.5802/crmath.449
language
English
LU publication?
yes
id
cb2c7798-a5d1-4cf4-a664-b48e15337e8f
date added to LUP
2023-10-09 12:16:26
date last changed
2023-10-09 12:16:26
@article{cb2c7798-a5d1-4cf4-a664-b48e15337e8f,
  abstract     = {{<p>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.</p>}},
  author       = {{Leistner, Thomas and Munn, Thomas}},
  issn         = {{1631-073X}},
  keywords     = {{geodesic completeness; Lorentzian manifolds; Lorentzian symmetric spaces}},
  language     = {{eng}},
  pages        = {{819--824}},
  publisher    = {{Elsevier}},
  series       = {{Comptes Rendus Mathematique}},
  title        = {{Completeness of certain compact Lorentzian locally symmetric spaces}},
  url          = {{http://dx.doi.org/10.5802/crmath.449}},
  doi          = {{10.5802/crmath.449}},
  volume       = {{361}},
  year         = {{2023}},
}