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arXiv · 2211.02380

Completeness of certain compact Lorentzian locally symmetric spaces

Thomas Leistner·Thomas Munn
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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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Thomas Leistner, Thomas Munn. 2022-11-04. Completeness of certain compact Lorentzian locally symmetric spaces. https://doi.org/10.5802/crmath.449

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