The Transformation Law For Two-point Tensor
Suppose we have two coordinate systems one primed and another unprimed and a vectors' components transform between them as
- .
For tensors suppose we then have
- .
A tensor in the system . In another system, let the same tensor be given by
- .
We can say
- .
Then
is the routine tensor transformation. But a two-point tensor between these systems is just
which transforms as
- .
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