#19124: Curves in differentiable manifolds
-------------------------------------+-------------------------------------
   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
-------------------------------------+-------------------------------------
 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

--
Ticket URL: <http://trac.sagemath.org/ticket/19124>
Sage <http://www.sagemath.org>
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