(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If t_{ab} are the components of a symmetric tensor and v_a are the components of a vector, show that if:

[tex] v_{(a}t_{bc)} = 0 [/tex]

then either the symmetric tensor or the vector = 0.

Let me know if you are not familiar with the totally symmetric notation.

2. Relevant equations

3. The attempt at a solution

You can write out the 6 terms in the equation above and then reduce it to 3 terms through the symmetry of the tensor but I am not sure where to go from there.

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# Totally symmetric tensor

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