We study the dynamics of the Bianchi IX universe when one of the structure constants tends to zero, i.e. we study the dynamics of the Bianchi VII universe. We prove that there is a surface filled of periodic orbits surrounding an equilibrium point, and that except for another surface filled of equilibria the remainder orbits comes and go to infinity.

中文翻译：

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均匀宇宙中真空爱因斯坦方程的极限动力学

当结构常数之一趋于零时，我们研究Bianchi IX 宇宙的动力学，即我们研究Bianchi VII 宇宙的动力学。我们证明了围绕平衡点有一个充满周期性轨道的表面，并且除了另一个充满平衡的表面之外，其余的轨道来去往无穷大。