Homogeneous spaces with two ends and positive Euler characteristics
A closed connected subgroup U of a real semisimple Lie group G is called quasi-uniform if G/U has two ends. Then G/U is homeomorphic to \(M\times {\mathbb{R}}\) for some compact manifold M [\textit{A. Borel}, Ann. Math., II. Ser. 58, 443-457 (1953; Zbl 0053.130), a reference not mentioned in the paper]. The author describes all pairs (G,U) as above with M simply connected and Euler characteristic \(\chi (M)>0\). He makes strong use of earlier results of his for the case that the center Z(G) of G is finite and of Oniščik's for Z(G) infinite.
scientific article; zbMATH DE number 4100201