#18528: SageManifolds meta-ticket
-------------------------------------------------+-------------------------
Reporter: egourgoulhon | Owner:
Type: enhancement | egourgoulhon
Priority: major | Status: new
Component: geometry | Milestone: sage-6.8
Keywords: manifolds, tensors, | Resolution:
differential geometry | Merged in:
Authors: Eric Gourgoulhon, Michal | Reviewers:
Bejger, Marco Mancini | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: #18175 |
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Changes (by egourgoulhon):
* cc: bpillet (added)
Old description:
> This is the implementation of manifolds (mostly smooth manifolds at the
> moment) resulting from the [http://sagemanifolds.obspm.fr/ SageManifolds
> project].
>
> == Algebraic part ==
>
> - tensors on free modules of finite rank: #15916 (integrated in Sage 6.6)
> - parallelization of tensor computations on free modules of finite rank:
> #18100
>
> == Topological and differential part ==
>
> - '''topological manifolds:'''
> - basics (charts, subsets): #18529
> - scalar fields (continuous functions to the base field): ''ticket not
> set yet''
> - morphisms (continuous maps): ''ticket not set yet''
> - '''smooth manifolds:'''
> - basics (charts, subsets): ''ticket not set yet''
> - scalar fields (smooth real-valued functions): ''ticket not set yet''
> - tangent spaces: ''ticket not set yet''
> - morphisms (smooth maps): ''ticket not set yet''
> - submanifolds: ''ticket not set yet''
> - tensor fields: ''ticket not set yet''
> - differential forms: ''ticket not set yet''
> - affine connections: ''ticket not set yet''
> - '''pseudo-riemannian manifolds:'''
> - pseudo-riemannian metrics: ''ticket not set yet''
New description:
This is the implementation of manifolds (mostly smooth manifolds at the
moment) resulting from the [http://sagemanifolds.obspm.fr/ SageManifolds
project].
== Algebraic part ==
- tensors on free modules of finite rank: #15916 (integrated in Sage 6.6)
- parallelization of tensor computations on free modules of finite rank:
#18100
== Topological and differential part ==
- '''topological manifolds:'''
- basics (charts, subsets): #18529
- scalar fields (continuous functions to the base field): #18640
- morphisms (continuous maps): ''ticket not set yet''
- '''smooth manifolds:'''
- basics (charts, subsets): ''ticket not set yet''
- scalar fields (smooth real-valued functions): ''ticket not set yet''
- tangent spaces: ''ticket not set yet''
- morphisms (smooth maps): ''ticket not set yet''
- submanifolds: ''ticket not set yet''
- tensor fields: ''ticket not set yet''
- differential forms: ''ticket not set yet''
- affine connections: ''ticket not set yet''
- '''pseudo-riemannian manifolds:'''
- pseudo-riemannian metrics: ''ticket not set yet''
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Ticket URL: <http://trac.sagemath.org/ticket/18528#comment:2>
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