论文标题

关于紧凑的Brinkmann空位的完整性和动态

On completeness and dynamics of compact Brinkmann spacetimes

论文作者

Mehidi, Lilia, Zeghib, Abdelghani

论文摘要

Brinkmann Lorentz歧管是那些承认各向同性平行矢量场的歧管。我们证明了紧凑型和紧凑型均匀的Brinkmann空间的大地完整性。我们还部分证明它们的并行矢量场会产生等效流。

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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