It is pretty straight forward to prove that the Kronecker delta [itex]\delta_{ij}[/itex] is an isotropic tensor, i.e. rotationally invariant.
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]
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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