When is it true that for a linear transformation $A$ and a symmetric bi-linear form $g$ (i.e. (0,2) tensor) on a riemannian manifold:
$$ g( AV, W)= g(V, AW)?$$
When is it true that for a linear transformation $A$ and a symmetric bi-linear form $g$ (i.e. (0,2) tensor) on a riemannian manifold:
$$ g( AV, W)= g(V, AW)?$$
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