On completeness and dynamics of compact Brinkmann spacetimes

2022/05/15 by Mehidi, Lilia, Zeghib, Abdelghani
#53B30 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2205.07243

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.

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