Example 1.
Create a 2-dimensional manifold .
Here are the 2 different permutation symbols one can define on . For each we use the DGinfo command to display the tensor type -- recall that the first list characterizes the index type and the second list the tensor density weight.
Example 2.
Create a rank 2 vector bundle over a 3-dimensional base.
Here are the 4 different permutation symbols one can define on and their tensor types.