We should eventually merge this:
https://github.com/sympy/sympy/pull/9112

The TensorArray object is a multi-dimensional array with valence markings. 
It could be linked to the differential geometry module, to replace lists of 
lists of lists of lists.

On Monday, 19 October 2015 16:31:37 UTC+2, Ondřej Čertík wrote:
>
> On Mon, Oct 19, 2015 at 7:59 AM, Imran Ali <imrana...@gmail.com 
> <javascript:>> wrote: 
> > 
> > 
> > On Saturday, October 17, 2015 at 8:49:28 PM UTC+2, Francesco Bonazzi 
> wrote: 
> >> 
> >> 
> >> 
> >> On Saturday, 17 October 2015 17:52:38 UTC+2, Imran Ali wrote: 
> >>> 
> >>> 
> >>> But this result does not correspond to the hand calculations of Thomas 
> >>> Moore : 
> >>> 
> >> 
> >> Do you know that unlike matrices tensors don't have defined components? 
> I 
> >> mean, you may vary their valence (i.e. raise and lower the indices), 
> and 
> >> you'll get different components. 
> >> 
> >> I did not verify it by hand, but I guess that if you raise the first 
> index 
> >> of Thomas Moore's Riemann tensor, you'll get the output by SymPy. 
> > 
> > 
> > Ah of course! He has calculated the covariant form of the 
> > Riemann-Christoffel tensor. 
>
>
> Perfect. Does everything work as expected then? 
>
> If you find further possible problems, please let us know. 
>
> Ondrej 
>

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