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Transformation of the affine connection

by ehrenfest
Tags: affine, connection, transformation
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ehrenfest
#1
Oct6-07, 07:42 PM
P: 1,996
1. The problem statement, all variables and given/known data
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?


2. Relevant equations



3. The attempt at a solution
Attached Thumbnails
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ehrenfest
#2
Oct8-07, 02:59 AM
P: 1,996
can people see the attachment okay?
ehrenfest
#3
Oct10-07, 01:43 PM
P: 1,996
anyone?

nrqed
#4
Oct12-07, 04:50 PM
Sci Advisor
HW Helper
P: 2,884
Transformation of the affine connection

Quote Quote by ehrenfest View Post
1. The problem statement, all variables and given/known data
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?


2. Relevant equations



3. 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.
nhanle
#5
Apr1-11, 04:00 AM
P: 10
I have the same problem, can anyone help us?


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