Can you prove a theorem from Bergmann chapter 8 using Fig. 8?

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supakorn
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From Bergmann chapter 8.Please show that (see at Fig. below)...thank you.
 

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it not HW but i read and try to prove.For PHI, it is a skewsymmetric.
 
I'm Done (but Not Sure).phi Defined On The Flat Space,i Will Post My Answer Next Time.now I'm Happy.
 

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