- #1
Rasalhague
- 1,387
- 2
In the first equation on this page,
https://www.physicsforums.com/library.php?do=view_item&itemid=335
is there a loss of generality when there exists a metric tensor, since in that case
[tex]V \otimes V \otimes V^* \neq V \otimes V^* \otimes V,[/tex]
because
[tex]T^{ij}\;_{k} \neq T^{i}\;_{k}\;^{j}.[/tex]
https://www.physicsforums.com/library.php?do=view_item&itemid=335
is there a loss of generality when there exists a metric tensor, since in that case
[tex]V \otimes V \otimes V^* \neq V \otimes V^* \otimes V,[/tex]
because
[tex]T^{ij}\;_{k} \neq T^{i}\;_{k}\;^{j}.[/tex]