带有类光超曲面曲率的紧致正则时空的基本群
Fundamental group of compact decent spacetimes with lightlike hypersurface curvature
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中文总结 AI 辅助
本文研究带有类光超曲面曲率的紧致正则4维时空的基本群，证明其叶状结构的叶紧致时基本群为多循环群，非全恶性的4维紧致pp波时空也具有多循环基本群。
中文摘要 AI 辅助
本文研究具有类光超曲面曲率的紧致正则4维时空的基本群，这类流形由全测地零超曲面叶状化。我们证明，当叶状结构的叶紧致时，该时空的基本群是多循环群；还证明非全恶性的4维紧致pp波时空具有多循环基本群。
英文摘要
In this paper, we study the fundamental group of compact de cent 4-dimensional spacetimes with lightlike hypersurface curvature. Such manifolds are foliated by totally geodesic null hypersurfaces. We prove that when the leaves of the foliation are compact then the fun damental group of the spacetime is polycyclic. We also prove that a non totally vicious 4-dimensional compact pp-wave spacetime has polycyclic fundamental group.
