- #1

nigelscott

- 135

- 4

V

^{n}= (∂y

^{n}/∂x

^{m})V

^{m}- contravariant form

V

_{n}= (∂x

^{m}/∂y

^{n})V

_{m}- covariant form

In each case are the partials equivalent to the Jacobean matrices? Also, what about the case of a tensor

T

_{mn}= (∂x

^{r}/∂y

^{m})(∂x

^{s}/∂y

^{n})T

_{rs}

Is the transformation just the product of 2 Jacobeans?