How Do You Derive the Riemann Component?

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SUMMARY

The discussion focuses on deriving the Riemann component using the definition of the covariant derivative, specifically applying the connection coefficients denoted as ##\nabla_a e_b##. Participants emphasize the straightforward nature of this derivation, indicating that understanding the connection coefficients is essential. The thread was closed due to its similarity to a prior discussion, reinforcing the established methods for this derivation.

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TL;DR
This appears in the Charles&Wheeler book exercise 11.3.
Can someone please show how to write
245663
as
245664
?
 
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Just apply the definition of ##\nabla_a e_b## in terms of the connection coefficients. This is the only thing there is to it.
 
Because of the similarity to a previous thread, this thread is now closed.
 

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