Covariant Derivative: Limits on Making a Tensor?

[dsaun777]

Can you take any non invariant quantity like components and take the covariant derivative of them and arrive at an invariant tensor quantity? Or are there limits on what you can make a tensor?

 

[PeterDonis]

Can you take any non invariant quantity like components and take the covariant derivative of them and arrive at an invariant tensor quantity?

You can't take covariant derivatives of components. Covariant derivatives operate on tensors.

 

[dsaun777]

You can't take covariant derivatives of components. Covariant derivatives operate on tensors.

Sorry my brain is not working long day...