On completeness and dynamics of compact Brinkmann spacetimes
Differential Geometry
2025-03-25 v3
Abstract
Brinkmann Lorentz manifolds are those admitting an isotropic parallel vector field. We prove geodesic completeness of the compact and also compactly homogeneous Brinkmann spaces. We also prove, partially, that their parallel vector field generates an equicontinuous flow.
Cite
@article{arxiv.2205.07243,
title = {On completeness and dynamics of compact Brinkmann spacetimes},
author = {Lilia Mehidi and Abdelghani Zeghib},
journal= {arXiv preprint arXiv:2205.07243},
year = {2025}
}
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32 pages