Completeness of certain compact Lorentzian locally symmetric spaces
Differential Geometry
2024-12-02 v1
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.
Keywords
Cite
@article{arxiv.2211.02380,
title = {Completeness of certain compact Lorentzian locally symmetric spaces},
author = {Thomas Leistner and Thomas Munn},
journal= {arXiv preprint arXiv:2211.02380},
year = {2024}
}
Comments
6 pages, comments welcome