Timeline for Structure constants to Christoffel Symbols
Current License: CC BY-SA 2.5
6 events
when toggle format | what | by | license | comment | |
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Feb 26, 2010 at 12:46 | answer | added | José Figueroa-O'Farrill | timeline score: 2 | |
Feb 26, 2010 at 12:30 | comment | added | José Figueroa-O'Farrill | Notice, by the way, that the $C$s are most definitely not constants in the general case. | |
Feb 26, 2010 at 12:29 | comment | added | José Figueroa-O'Farrill | There is an additional assumption allowing you to write down the Christoffel symbols in terms of the $C$s. What you have written is half of the Koszul formula for the Levi-Civita connection. You are missing the terms where the metric is differentiated. Hence it seems to me that you are assuming that the vector fields are such that their scalar product is constant. | |
Feb 26, 2010 at 8:56 | history | edited | Anirbit | CC BY-SA 2.5 |
added 80 characters in body
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Feb 26, 2010 at 8:27 | answer | added | jvkersch | timeline score: 1 | |
Feb 26, 2010 at 5:19 | history | asked | Anirbit | CC BY-SA 2.5 |