#14865: SageManifolds: a package for differential geometry in Sage
-------------------------------------+-------------------------------------
Reporter: egourgoulhon | Owner: egourgoulhon, mbejger
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.3
Component: packages: | Resolution:
experimental | Merged in:
Keywords: differential | Reviewers:
geometry, tensor calculus | Work issues:
Authors: Michal Bejger, | Commit:
Eric Gourgoulhon | f940b6fdb33a86db9173c87b694eb726b92ba222
Report Upstream: N/A | Stopgaps:
Branch: |
u/egourgoulhon/SageManifolds |
Dependencies: #15916 |
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Description changed by egourgoulhon:
Old description:
> This is the first draft of [http://sagemanifolds.obspm.fr SageManifolds],
> a project to implement differential geometry and tensor calculus in Sage.
> It is still at a very early stage; current functionalities include:
>
> * differentiable mappings and submanifolds
> * standard tensor calculus (tensor product, contraction,
> (anti)symmetrization)
> * exterior calculus (wedge product, exterior derivative of differential
> forms)
> * Lie derivatives
> * affine connections
> * curvature and torsion
> * pseudo-Riemannian metrics
> * Hodge duality
>
> More details on the page [http://sagemanifolds.obspm.fr]
>
> The package is still very preliminary. Future developments will focuss on
> - the implementation of Sage Parent/Element scheme for a better
> integration in Sage
> - adding new functionalities (e.g. extrinsic geometry of submanifolds,
> spinors)
> - producing faster code by migrating some parts to Cython
> Volonteers are welcome !
New description:
This is the first draft of [http://sagemanifolds.obspm.fr SageManifolds],
a project to implement differential geometry and tensor calculus in Sage.
It is still at a very early stage; current functionalities include:
* differentiable mappings and submanifolds
* standard tensor calculus (tensor product, contraction,
(anti)symmetrization)
* exterior calculus (wedge product, exterior derivative of differential
forms)
* Lie derivatives
* affine connections
* curvature and torsion
* pseudo-Riemannian metrics
* Hodge duality
More details on the page [http://sagemanifolds.obspm.fr]
The package is still very preliminary. Future developments will focuss on
- the implementation of Sage !Parent/Element scheme for a better
integration in Sage
- adding new functionalities (e.g. extrinsic geometry of submanifolds,
spinors)
- producing faster code by migrating some parts to Cython
Volunteers are welcome !
''Note (added on 18 Jul 2014):'' this ticket contains now version 0.5 (in
the associated git branch) and the attached spkg are obsolete.
--
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Ticket URL: <http://trac.sagemath.org/ticket/14865#comment:23>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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