On homogeneous spaces with two ends (Q760033)

Let G be a connected real Lie group. A closed subgroup \(U\subset G\) is called quasiuniform if the homogeneous space G/U has two ends (in the sense of Freudenthal). Assuming G semisimple with a finite center, the author constructs four classes of connected, closed quasiuniform subgroups of G (he describes their Lie algebras). Then he proves that any connected, closed, quasiuniform subgroup of G is conjugate to a group in one of these classes.