Completeness of certain compact Lorentzian locally symmetric spaces
(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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https://lup.lub.lu.se/record/cb2c7798-a5d1-4cf4-a664-b48e15337e8f
- author
- Leistner, Thomas and Munn, Thomas LU
- organization
- publishing date
- 2023
- 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}}, }