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Prove that the Christoffel's symbols are not tensors.

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Prove that the Christoffel's symbols are not tensors.

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Solution Summary

It proves that the Christoffel's symbols are not tensors. The solution is given in detail. This is mainly for finding the relation between the Christoffel symbol and the tensor calculus.  

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 Proof :-        Consider the fundamental tensors                                                                    
 g_(mu)(nu), g_(nu)(lemda), g_(lemda)(mu)                                   
...

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