Timeline for connected compact semisimple lie group finite fundamental group
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| Mar 9, 2013 at 17:46 | answer | added | archipelago | timeline score: 4 | |
| May 2, 2012 at 14:52 | history | edited | Amathena | CC BY-SA 3.0 |
added 8 characters in body
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| May 1, 2012 at 18:04 | answer | added | Renato G. Bettiol | timeline score: 9 | |
| May 1, 2012 at 17:45 | comment | added | Paul Siegel | While I'm thinking about this, my personal favorite argument is to compute the Ricci curvature of a compact Lie group relative to a bi-invariant Riemannian metric in terms of the Lie bracket and conclude that the Ricci curvature is positive if the group is semi-simple. This implies that the Ricci curvature of the universal cover is also positive and hence the universal cover is compact by the Bonnet-Meyers theorem. | |
| May 1, 2012 at 17:37 | comment | added | Paul Siegel | I can think of at least four substantially different proofs off the top of my head and I'm sure there are more, so it is not surprising that Knapp's proof is different from the one that was first suggested to you. So if you want to see a fleshed-out version of the outline that you were first given it might help to include a few details that you remember in your question. | |
| May 1, 2012 at 14:51 | answer | added | Faisal | timeline score: 13 | |
| May 1, 2012 at 13:10 | answer | added | Jim Humphreys | timeline score: 7 | |
| May 1, 2012 at 9:24 | answer | added | Johannes Ebert | timeline score: 4 | |
| May 1, 2012 at 8:29 | answer | added | Marc Palm | timeline score: 3 | |
| May 1, 2012 at 7:14 | history | edited | Amathena | CC BY-SA 3.0 |
added 141 characters in body
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| May 1, 2012 at 6:18 | history | edited | MTS | CC BY-SA 3.0 |
added algebraic topology tag, fixed grammar
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| May 1, 2012 at 6:05 | history | asked | Amathena | CC BY-SA 3.0 |