#18528: SageManifolds metaticket
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Reporter: egourgoulhon | Owner:
Type: enhancement | egourgoulhon
Priority: major | Status: new
Component: geometry | Milestone: sage-6.10
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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Comment (by egourgoulhon):
Replying to [comment:14 tscrim]:
> Something I would like to see once the basics are done is a catalog of
examples and common interesting manifolds:
Thanks for these suggestions. For sure, one should have a catalog of
standard manifolds. For the time being, there are only examples available
as worksheets at http://sagemanifolds.obspm.fr/examples.html, for instance
- the 2-sphere at
http://sagemanifolds.obspm.fr/examples/html/SM_sphere_S2.html
- the real projective plane at
http://sagemanifolds.obspm.fr/examples/html/SM_projective_plane_RP2.html
- the hyperbolic plane at
http://nbviewer.ipython.org/github/sagemanifolds/SageManifolds/blob/master/Worksheets/v0.8/SM_hyperbolic_plane.ipynb
>
> I understand that some of these could be considered more wishlist than
others. Some other wishlist items:
>
> - [https://en.wikipedia.org/wiki/Morse_theory Morse theory] to compute
homology of manifolds.
> - Manifolds with boundary
> - Cartesian products of manifolds (or more generally, fiber bundles)
> - DeRham cohomology (see, e.g., lecture notes above)
All the above seem indeed desirable extensions. Even if they are not
implemented yet, we should have them in mind when setting the basics.
--
Ticket URL: <http://trac.sagemath.org/ticket/18528#comment:15>
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