exmarine
- 241
- 11
The contra-variant transform seems to be defined by the differential transform from calculus.
dx^{\mu}=x^{\mu}_{,\nu}dx^{\nu}
A^{\mu}=x^{\mu}_{,\nu}A^{\nu}
I am puzzled by this, as the vector / tensor usually has finite components. They span a considerable region of space. So where are the partials to be taken, i.e., at what point in space or space-time?
dx^{\mu}=x^{\mu}_{,\nu}dx^{\nu}
A^{\mu}=x^{\mu}_{,\nu}A^{\nu}
I am puzzled by this, as the vector / tensor usually has finite components. They span a considerable region of space. So where are the partials to be taken, i.e., at what point in space or space-time?