On Wednesday, March 5, 2014 2:53:29 AM UTC+1, Charlie Paul wrote:
>
> I'm interested in doing the Tensor Core project for GSoC. 
>

That's good news.
 

> Other than the standard physics fare and a couple semesters of linear 
> algebra, I've also taken differential geometry.
>

SymPy currently also has a differential geometry module, with basic support 
for tensors (covariant components only).

http://docs.sympy.org/latest/modules/diffgeom.html
 

>
> Firstly, what is the status on SymPy's tensors compared to the Linear 
> Algebra Vision document linked from the idea page?
>

In sympy/tensor/indexed there is an old module. There is now a more 
mathematically rigorous tensor module:

http://docs.sympy.org/latest/modules/tensor/tensor.html

It was initially meant to characterize abstract tensors (i.e. tensor 
objects without components data). There is also support for data, but there 
is still a lot of work to be done.

The major inspiration for the new tensor module is *xAct*, a Wolfram 
Mathematica package to do tensor manipulations. It has been used 
extensively concerning symbolic math in General Relativity. xAct is open 
source.

It would be powerful to merge sympy/tensor/tensor tensors with those in 
sympy/diffgeom.

I see that there is a relatively recent tensor module (the aforementioned 
> document is a couple years old). It looks like it isn't comprehensive, but 
> I thought that I would check, as suggested on the GSoC page.
>

I don't know if that page has been updated, in any case there have been 
some additions.
 

>
> Also, I'd like to check the status of the Google Code and Github issues 
> pages. Is one preferred and takes precedence over the other, or are they 
> both used simultaneously?
>
>
I added a lot of issues concerning the new tensor module a month ago into 
github. They are prefixed by *Tensor*.

Thank you,
>
>
You're welcome.

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