It is pretty straight forward to prove that the Kronecker delta [itex]\delta_{ij}[/itex] is an isotropic tensor, i.e. rotationally invariant.(adsbygoogle = window.adsbygoogle || []).push({});

But how can I show that it is indeed the only isotropic second order tensor? I.e., such that for any isotropic second order tensor [itex]T_{ij}[/itex] we can write

[tex]

T_{ij} = \lambda \delta_{ij}

[/tex]

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# Proof? Kronecker delta is the only isotropic second rank tensor

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