- #1
ismaili
- 160
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I am confused with the spherical coordinate.
Say, in 2D, the polar coordinate [tex] (r, \theta) [/tex]
The mathworld website says that
http://mathworld.wolfram.com/SphericalCoordinates.html
[tex] D_k A_j = \frac{1}{g_{kk}} \frac{\partial A_j}{\partial x_k} - \Gamma^i_{ij}A_i [/tex]
I don't know why we need the factor [tex] g_{kk} [/tex] in the first term.
I think there should be no such a scale factor, but just the partial derivative for the first term, am I right?
Thanks
Say, in 2D, the polar coordinate [tex] (r, \theta) [/tex]
The mathworld website says that
http://mathworld.wolfram.com/SphericalCoordinates.html
[tex] D_k A_j = \frac{1}{g_{kk}} \frac{\partial A_j}{\partial x_k} - \Gamma^i_{ij}A_i [/tex]
I don't know why we need the factor [tex] g_{kk} [/tex] in the first term.
I think there should be no such a scale factor, but just the partial derivative for the first term, am I right?
Thanks