Transformation law for Christoffel symbol of first kindby Will_C Tags: christoffel, kind, symbol, transformation 
#1
Dec604, 04:15 AM

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Hi,
I have met a problem, that is how to prove transformation law for Christoffel symbol of first kind. I have read books about that, but many of them just state: cyclic permutation of the 3 indices and substitution. When I tried to work out, I could not elimate some terms... Can anyone show me how to prove it once. Will. 



#2
Dec604, 01:38 PM

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#3
Dec704, 04:11 AM

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Thx dextercioby,
I think ,what I have read, is a old style Tensor. So most books, I have read, derive the second kind transformation law from the first kind. Thank you very much for your help. It would be more happy to me if I can get some derives base on the style, what I am learning. Will. 



#4
Dec704, 06:48 AM

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Transformation law for Christoffel symbol of first kindI beleive u can manipulate suffices,derivatives and other tensorial quantities so that u can get the first kind symbols' transformation law directly from the expression of a covariant derivative of a covector. Daniel. 



#5
May2409, 03:54 AM

P: 1

thanks .



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