#18528: SageManifolds metaticket
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Reporter: egourgoulhon | Owner:
Type: enhancement | egourgoulhon
Priority: major | Status: new
Component: geometry | Milestone: sage-7.3
Keywords: manifold, tensor, | 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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Description changed by egourgoulhon:
Old description:
> This is the implementation of manifolds resulting from the
> [http://sagemanifolds.obspm.fr/ SageManifolds project].
>
> == Algebraic part ==
>
> - tensors on free modules of finite rank: #15916 (merged in Sage 6.6)
> - parallelization of tensor computations on free modules of finite rank:
> #18100 (merged in Sage 6.10)
>
> == Topological and differential part ==
>
> - '''Topological manifolds''' (over '''R''', '''C''' or a topological
> field K):
> - basics (charts, subsets): #18529 (merged in Sage 7.1.beta1)
> - scalar fields (continuous functions to the base field): #18640
> (merged in Sage 7.3.beta0)
> - morphisms (continuous maps between manifolds): #18725 (merged in Sage
> 7.3.beta0)
> - '''Differentiable manifolds''' (over '''R''', '''C''' or a non-discrete
> topological field K):
> - basics (charts, transition maps, scalar fields, morphisms): #18783
> (merged in Sage 7.3.beta2)
> - vector fields, tensor fields and p-forms: #18843
> - tangent spaces: #19092
> - curves: #19124
> - affine connections: #19147
> - Lie algebras: #20771
> - '''Complex and almost complex manifolds:'''
> - almost complex structures through Hodge structures: #18786
> - '''Pseudo-riemannian manifolds:'''
> - pseudo-riemannian metrics: #19209
> - Schouten, Cotton, and Cotton-York tensors: #19823
> - Euclidean spaces: #19978
New description:
This is the implementation of manifolds resulting from the
[http://sagemanifolds.obspm.fr/ SageManifolds project].
== Algebraic part ==
- Tensors on free modules of finite rank: #15916 (merged in Sage 6.6)
- Parallelization of tensor computations on free modules of finite rank:
#18100 (merged in Sage 6.10)
- Improve category for finite rank free modules and provide list
functionality for basis: #20770 (merged in Sage 7.3.beta3)
== Topological and differential part ==
- '''Topological manifolds''' (over '''R''', '''C''' or a topological
field K):
- basics (charts, subsets): #18529 (merged in Sage 7.1.beta1)
- scalar fields (continuous functions to the base field): #18640 (merged
in Sage 7.3.beta0)
- morphisms (continuous maps between manifolds): #18725 (merged in Sage
7.3.beta0)
- '''Differentiable manifolds''' (over '''R''', '''C''' or a non-discrete
topological field K):
- basics (charts, transition maps, scalar fields, morphisms): #18783
(merged in Sage 7.3.beta2)
- vector fields, tensor fields and p-forms: #18843
- tangent spaces: #19092
- curves: #19124
- affine connections: #19147
- Lie algebras: #20771
- '''Complex and almost complex manifolds:'''
- almost complex structures through Hodge structures: #18786
- '''Pseudo-riemannian manifolds:'''
- pseudo-riemannian metrics: #19209
- Schouten, Cotton, and Cotton-York tensors: #19823
- Euclidean spaces: #19978
--
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Ticket URL: <http://trac.sagemath.org/ticket/18528#comment:25>
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