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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
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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