Timeline for Lie groups admitting flat (bi)invariant metrics.
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 27, 2015 at 9:01 | answer | added | HackVlix | timeline score: 2 | |
| Aug 2, 2011 at 20:57 | answer | added | Andre Diatta | timeline score: 4 | |
| Jul 14, 2011 at 18:38 | answer | added | Albuquerque | timeline score: 3 | |
| Jul 10, 2011 at 21:13 | answer | added | Alain Valette | timeline score: 3 | |
| Jul 10, 2011 at 21:01 | comment | added | Asaf | You might also want to consult - Milnor "Curvatures of Left Invariant Metrics on Lie Groups", which deals with your problem in a broader context. In particular he answers your question in his article. | |
| Jul 10, 2011 at 20:40 | answer | added | Igor Belegradek | timeline score: 9 | |
| Jul 10, 2011 at 19:03 | history | edited | R.S. | CC BY-SA 3.0 |
added 170 characters in body
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| Jul 10, 2011 at 18:46 | comment | added | R.S. | Nice, so there is a powerful restriction dictated by the algebraic structure in the compact case. Where can I found a proof of it? It would be interesting to see which role the commutativity of the group plays in the proof. | |
| Jul 10, 2011 at 18:43 | comment | added | Marco Golla | Igor, is it obvious that there is no nonabelian structure on a torus? | |
| Jul 10, 2011 at 18:07 | comment | added | Igor Belegradek | Compact flat manfolds are aspherical, and the only aspherical compact Lie group is a torus. | |
| Jul 10, 2011 at 17:55 | history | asked | R.S. | CC BY-SA 3.0 |