#19124: Curves in differentiable manifolds
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Reporter: egourgoulhon | Owner: egourgoulhon
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.9
Component: geometry | Keywords: differentiable
Merged in: | manifold, curve, interval, real
Reviewers: | line
Work issues: | Authors: Eric Gourgoulhon
Commit: | Report Upstream: N/A
d38f3cf21af912c3a55610b3c299d482c01389d3| Branch:
Stopgaps: | public/manifolds/diff_manif_curves
| Dependencies: #19092
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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. manifolds
- 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
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Ticket URL: <http://trac.sagemath.org/ticket/19124>
Sage <http://www.sagemath.org>
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