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Equivalence value of the Christoffel tensor of the second kind.

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Prove that Christofel^a_ab = (del/delx^b)log g^(1/2)

The complete problem is in the attached file.

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Tensor Calculus (VI)
Christoffel Symbols
By :- Thokchom Sarojkumar Sinha

Prove that

Proof :- We have

Writting the above equation for fundamental tensor , we get

For

or,
...

Solution Summary

It proves that the equivalence value of the Christofel symbol of the second kind.
The solution is given in detail.
The value of the Christofel symbol of the second kind is expressed as derivative
log g^(1/2).

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