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 | |
| Publication status | Published - 2023 |
Subject classification (UKÄ)
- Mathematical Analysis
Free keywords
- geodesic completeness
- Lorentzian manifolds
- Lorentzian symmetric spaces