[GiNaC-list] A differential geometry-specific extension

Diego Conti diego.conti at unimib.it
Fri Dec 21 13:14:29 CET 2007

Well, there are a few examples included with the package 
wedge-0.1.0.tar.gz (subdirectory examples). Also, you can have a look at 
the test programs (subdirectory test).
Any feedback is of course welcome, although the right place to discuss 
Wedge is probably the forum at sourceforge.net rather than this list.
Diego Conti

> 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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>> GiNaC-list at ginac.de
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