Timeline for Structure constants to Christoffel Symbols
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 9, 2010 at 21:41 | history | undeleted | jvkersch | ||
| Apr 9, 2010 at 21:41 | history | deleted | jvkersch | ||
| Feb 26, 2010 at 16:27 | comment | added | jvkersch | You're right, this probably goes back to the early days of differential geometry. Milnor "just" fleshed it out considerably. | |
| Feb 26, 2010 at 13:38 | comment | added | Mariano Suárez-Álvarez | Is that really due to Milnor? I would have imagined that connection had been known since the beginning of time---which is, more or less, the time of Cartan, Killing and friends. | |
| Feb 26, 2010 at 9:00 | comment | added | Anirbit | The equation which I have asked about seems to be a generalization of this formula of Milnor. But I have no clue how to derive that and when is it valid. Are you sure that the "anholonomy" which you talk of is the same thing as the "anolonomy" I have mentioned? | |
| Feb 26, 2010 at 8:59 | comment | added | Anirbit | Thanks for your reply. I have corrected the issue with the indices. I am aware of the result of Milnor that you are referring to. That works for any semi-simple lie group (best if it is compact) since in that case the group comes with a natural bi-invariant metric and the Riemann-Christoffel connection for that satisfies the equation you wrote. | |
| Feb 26, 2010 at 8:27 | history | answered | jvkersch | CC BY-SA 2.5 |