We study the covariant bundles (Mostow bundles) for simply connected homogeneous manifolds, establish their relation to homogeneous bundles and consider classes of homogeneous manifolds for which the Mostow bundle is trivial (resp. non-trivial). We also give a classification of non-compact simply connected homogeneous manifolds of dimension not exceeding seven.

中文翻译：

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关于非紧致简单连通齐次流形的拓扑

我们研究简单连接的齐次流形的协变束（Mostow束），建立它们与齐次束的关系，并考虑将Mostow束视为琐碎（分别为非平凡）的齐次流形的类。我们还给出了尺寸不超过七个的非紧凑型简单连接齐整流形的分类。