[GiNaC-list] A differential geometry-specific extension
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.
> 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
> Alex Baker
> On 21/12/2007, Diego Conti <diego.conti at unimib.it> wrote:
>> I have been working on an extension to GiNaC for differential geometry,
>> and I have released a first version, available from
>> 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
>> - 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
>> GiNaC-list mailing list
>> GiNaC-list at ginac.de
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