#19124: Curves in differentiable manifolds
-------------------------------------+-------------------------------------
Reporter: egourgoulhon | Owner: egourgoulhon
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.10
Component: geometry | Resolution:
Keywords: differentiable | Merged in:
manifold, curve, interval, real | Reviewers:
line | Work issues:
Authors: Eric Gourgoulhon | Commit:
Report Upstream: N/A | 6b5192628e55ed206c472f8aa5bd15ee5ba44cc7
Branch: | Stopgaps:
public/manifolds/diff_manif_curves |
Dependencies: #19092 |
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Description changed by egourgoulhon:
Old description:
> This ticket implements differentiable curves in real differentiable
> manifolds. This is a follow-up of #19092 within the
> [http://sagemanifolds.obspm.fr/ SageManifolds project] (see the
> metaticket #18528 for an overview).
>
> This ticket implements the following Python classes:
> - the parent class `OpenInterval` for open intervals of '''R''' as
> 1-dimensional diff. manifolds
> with a canonical chart,
> - the subclass `RealLine` for '''R''' as a 1-dimensional diff. manifold
> - the parent class `DiffManifoldCurveSet` for homsets Hom(I,M), i.e. sets
> of differentiable maps
> I --> M, where I is an open interval of '''R''' and M a differentiable
> manifold over '''R'''
> - the element class `DiffManifoldCurve` for curves, i.e. differentiable
> maps I --> M
>
> '''Documentation''':
> The reference manual is produced by
> `sage -docbuild reference/manifolds html`
> It can also be accessed online at
> http://sagemanifolds.obspm.fr/doc/19124/reference/manifolds/
> More documentation (e.g. example worksheets) can be found
> [http://sagemanifolds.obspm.fr/documentation.html here].
New description:
This ticket implements differentiable curves in real differentiable
manifolds. This is a follow-up of #19092 within the
[http://sagemanifolds.obspm.fr/ SageManifolds project] (see the metaticket
#18528 for an overview).
This ticket implements the following Python classes:
- the parent class `OpenInterval` for open intervals of '''R''' as
1-dimensional diff. manifolds
with a canonical chart,
- the subclass `RealLine` for '''R''' as a 1-dimensional diff. manifold
- the parent class `DifferentiableCurveSet` for homsets Hom(I,M), i.e.
sets of differentiable maps
I --> M, where I is an open interval of '''R''' and M a differentiable
manifold over '''R'''
- the element class `DifferentiableCurve` for curves, i.e. differentiable
maps I --> M
'''Documentation''':
The reference manual is produced by
`sage -docbuild reference/manifolds html`
It can also be accessed online at
http://sagemanifolds.obspm.fr/doc/19124/reference/manifolds/
More documentation (e.g. example worksheets) can be found
[http://sagemanifolds.obspm.fr/documentation.html here].
--
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Ticket URL: <http://trac.sagemath.org/ticket/19124#comment:13>
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