Symmetric tensor: Difference between revisions

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m link Riemannian manifold
m Symmetric only makes sense for unmixed tensors
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{{Short description|Tensor invariant under permutations of vectors it acts on}}
{{Use American English|date = February 2019}}
In [[mathematics]], a '''symmetric tensor''' is aan [[Mixed tensor|unmixed]] [[tensor]] that is invariant under a [[permutation]] of its vector arguments:
 
:<math>T(v_1,v_2,\ldots,v_r) = T(v_{\sigma 1},v_{\sigma 2},\ldots,v_{\sigma r})</math>