i am trying to verify this equality so here is what i did so far:

then since i now have

and i seem to be stuck here. have what i've been doing so far correct and if so how may i continue. thanks.

Printable View

- Mar 12th 2011, 12:39 AMoblixpscovariant derivatives and christoffel symbols

i am trying to verify this equality so here is what i did so far:

then since i now have

and i seem to be stuck here. have what i've been doing so far correct and if so how may i continue. thanks. - Mar 12th 2011, 05:05 PMoblixps
oops i had a few typos in the christoffel symbols. now that they are fixed i had some nice cancellations.

now i am left with:

and since the derivative of g is 0 and since it is a tensor and has a derivative of zero in cartesian coordinates, it must have the same for all coordinates and therefore the identity is 0 = 0. is this the correct reasoning? thanks. - Mar 13th 2011, 07:15 PMoblixps
i am still confused as i don't know how to get rid of the terms left over which is where g is the metric tensor.