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Pré-Publication, Document De Travail Année : 2022

On completeness and dynamics of compact Brinkmann spacetimes

Résumé

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.

Dates et versions

hal-03834219 , version 1 (29-10-2022)

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Lilia Mehidi, Abdelghani Zeghib. On completeness and dynamics of compact Brinkmann spacetimes. 2022. ⟨hal-03834219⟩
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