- #1
mannyfold
- 12
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I am having a problem that is glossed over in many textbooks but is driving me nuts.
Consider the following inner product or one-form with a vector argument:
dx_i(partial_j) = kroenicker delta ij
Here, dx_i is a one-form and partial_j (the partial wrt x_j) is a vector.
Some books say:
dx_i(partial_j) = partial x_i / partial x_j = kroenicker delta ij
The problem is that I can't see how this is true. (Well, I do know that partial x_i / partial x_j = kroenicker delta ij but I can't see the rest.) What am I missing here?
Thanks.
Consider the following inner product or one-form with a vector argument:
dx_i(partial_j) = kroenicker delta ij
Here, dx_i is a one-form and partial_j (the partial wrt x_j) is a vector.
Some books say:
dx_i(partial_j) = partial x_i / partial x_j = kroenicker delta ij
The problem is that I can't see how this is true. (Well, I do know that partial x_i / partial x_j = kroenicker delta ij but I can't see the rest.) What am I missing here?
Thanks.
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