Timeline for Example of a manifold which is not a homogeneous space of any Lie group
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| Feb 24, 2012 at 23:28 | comment | added | Lee Mosher | np. I'll throw in that this idea of analyzing the $Z^2$ subgroup intersected with $\pi_1(G) / \pi_1(H)$ is kind of what is going on in the proof of Thurston's 8 geometries theorem. It seems to me that your question, in the 3-manifold context, is a kind of generalization of the 8 geometries theorem. | |
| Feb 24, 2012 at 22:01 | comment | added | MTS | This is a bit over my head, but a nice answer nonetheless. Thank you. | |
| Feb 24, 2012 at 20:05 | history | answered | Lee Mosher | CC BY-SA 3.0 |