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Tensor calculus (tensor analysis) is a systematic extension of vector calculus to multivector and tensor fields in a form that is independent of the choice of coordinates on the relevant manifold, but which accounts for respective sub-spaces, their symmetries, and their connections.
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Raising and lowering indices of Kronecker delta [duplicate]
I have some confusion about how to raise the indices of the Kronecker delta.
To raise and lower indices we use the metric tensor, let's suppose to use the metric (+---).
I should have that $$g_{\mu\nu …