Transformation of the affine connection

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Homework Help Overview

The discussion revolves around the transformation of the affine connection, specifically focusing on understanding a statement regarding the swapping of derivatives and the derivation of a particular equation (3.17).

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the meaning of a specific phrase related to derivatives and are questioning how a minus sign might arise in the context of relabeling indices and applying the chain rule.

Discussion Status

The discussion is ongoing, with participants expressing confusion and seeking assistance. Some have echoed the original poster's questions, indicating a shared uncertainty about the concepts involved.

Contextual Notes

There appears to be a reliance on specific equations and terminology that may not be fully explained in the thread, which could be contributing to the participants' confusion.

ehrenfest
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Homework Statement


Can someone explain what they mean at the bottom of the page "by swapping derivatives with respect to a and x' " and in general how they arrived at equation 3.17?


Homework Equations





The Attempt at a Solution

 

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can people see the attachment okay?
 
anyone?
 
ehrenfest said:

Homework Statement


Can someone explain what they mean at the bottom of the page "by swapping derivatives with respect to a and x' " and in general how they arrived at equation 3.17?


Homework Equations





The Attempt at a Solution


I have to admit that I am a bit puzzled by this. I don't see how a minus sign may be generated even if one relabels the dummy indices, use the chain rules to go from x to c', etc. I must be missing something. I hope someone else can jump in.
 
I have the same problem, can anyone help us?
 

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