[GiNaC-list] A differential geometry-specific extension

[alexander baker]

Correct, this is very interesting, can you ship an example of the
usage so I can get a better feel for how this might contribute to my
work.

Thanks

Alex Baker

On 21/12/2007, Diego Conti <diego.conti at unimib.it> wrote:
> Hi,
> I have been working on an extension to GiNaC for differential geometry,
> and I have released a first version, available from
> <https://sourceforge.net/projects/libwedge/>.
>
> Current features include:
> - Vector spaces: determine a basis from a list of generators, and
> similar computations.
> - Manifolds and differential forms: exterior derivative; wedge product.
> - Lie groups: the general linear group; subgroups determined by the
> choice of a subalgebra; abstract Lie groups defined in abbreviated form,
> e.g. writing (0,0,12) for the Heisenberg group, characterized by the
> existence of a basis of left-invariant one-forms e1,e2,e3 such that
> de3=e1 ^ e2 and e1,e2 are closed.
> - Riemannian metrics and G-structures, defined on a Lie group or a
> coordinate patch of a generic manifold, and represented by an
> orthonormal basis of 1-forms (adapted frame); spinors, Clifford
> multiplication.
> - Connections: the Levi-Civita connection; curvature; covariant
> derivatives; define connections on generic manifolds and impose
> conditions on the Christoffel symbols, e.g. to obtain curvature conditions.
>
> I thought maybe someone in this list would be interested.
> Diego Conti
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