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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  • Handwritten-style equation: phi^{vσ} phi^{μ}_{•σ,ν} = (1/2) eta^{μρ} phi^{vσ} (phi_{ρσ,ν} + phi_{νρ,σ}), with index notation for a tensor field.
    B1.GIF
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  • Tensor equation: φ^{υσ} φ^{μ}_{•σ,υ} = (1/4) η^{μρ} (φ^{υσ} φ_{υσ})_{,ρ}, with indices as printed in the image.
    B2.GIF
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Sounds like a homework problem.
What have you tried?
What is [tex]\varphi[/tex]? Does it have any special properties?
 
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.