#18528: SageManifolds metaticket
-------------------------------------------------+-------------------------
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 |
-------------------------------------------------+-------------------------
Comment (by tscrim):
Something I would like to see once the basics are done is a catalog of
examples and common interesting manifolds:
- ''n''-sphere
- ''n''-torus
- real/complex projective ''n''-space
- surfaces
- (Affine) Grassmannians
- Classical Lie groups (more for my info, a description of charts is on
page 5 of https://www.dpmms.cam.ac.uk/~agk22/mfds.pdf, but this probably
isn't a good atlas for doing computations)
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)
--
Ticket URL: <http://trac.sagemath.org/ticket/18528#comment:14>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
