Talk:General Relativity/Coordinate systems and the comma derivative

"Now, we change coordinate systems via the Jacobian.." Please continue, I can't tell what you're saying. 67.118.118.183 04:34, 15 Jan 2005 (UTC)

Huh? Isn't the comma derivative the tensor quantity that is the normal partial derivative adjusted by a sum over the Christoffel symbols? If the Christoffel symbols are zero, as they are in a flat space, the covariant derivative is the same as the normal derivative, but in general this is not the case. Or am I missing something?

The tensor quantity that you're talking about is the covariant derivative and it's written as X;c - Itzamna 2 Feb 2009