Opened 2 years ago
Last modified 4 weeks ago
#30189 new task
Add Examples to Manifolds Catalog — at Version 23
Reported by: | Michael Jung | Owned by: | |
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Priority: | major | Milestone: | sage-9.8 |
Component: | manifolds | Keywords: | |
Cc: | Eric Gourgoulhon, Travis Scrimshaw, Tobias Diez | Merged in: | |
Authors: | Reviewers: | ||
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description (last modified by )
The current catalog is nice to have but still very limited or incomplete. Constructing some examples in the current catalog also takes a lot of time.
While improving and extend this, it is also a good opportunity to expand the tutorials a little bit. Furthermore, most of our docstring examples are based on the 2-sphere. Hence we can perhaps shorten or simplify some parts of the documentation.
Step 1: rearrange folder structure (#30799)
Step 2: unification/improvement/extension of preexisting models
- More Flexible Coordinate Treatment for
EuclideanSpace
(#30824) - Category of connected manifolds will be joined to spheres, Euclidean spaces and open intervals (#31243)
- Add Orientation to
EuclideanSpace
- Sphere (#30804)
- Kerr (some inspiration may be found in the class
KerrBH
of the Sage package kerrgeodesic_gw) - Minkowski
- Torus
- #32228 Move examples from
sage.geometry.riemannian_manifolds
tosage.manifolds
Step 3: add new examples
- Real Projective Space / Real Grassmannians (#31249)
- Complex Projective Space / Complex Grassmannians (#31249)
- Hyperbolic space (a starting point may be this notebook)
Step 4: improve the tutorial/doctests
- simplify preexisting 2-sphere examples
- add thorough tutorial with old/new models
Change History (23)
comment:1 follow-up: 2 Changed 2 years ago by
comment:2 follow-up: 4 Changed 2 years ago by
Replying to egourgoulhon:
This sounds like a very good idea!
Note that in order not to clutter the global namespace, one can let access to the sphere and the hyperbolic space via the manifold catalog. The current version of the catalog is very primitive and the function
Sphere()
in it should call the constructor the sphere class, as soon as the latter is ready.
Ah, that is very nice. Actually, I was not aware that something like that exists. This should be populated somewhere more obvious. Probably in a tutorial?
So, the only thing that should be added now is the hyperbolic space, right?
comment:3 follow-up: 5 Changed 2 years ago by
By the way, I noticed that the result coming from sage.manifolds.catalog.Sphere
is not even correct:
sage: S.<th, ph> = manifolds.Sphere() sage: S 2-dimensional Riemannian submanifold S embedded in the Euclidean space E^3 sage: S.atlas() [Chart (S, (th, ph))]
This is not a correct atlas.
comment:4 Changed 2 years ago by
Replying to gh-mjungmath:
Ah, that is very nice. Actually, I was not aware that something like that exists. This should be populated somewhere more obvious. Probably in a tutorial?
Indeed, when it is more developed.
So, the only thing that should be added now is the hyperbolic space, right?
No, there remains to introduce a proper sphere class, on the model of EuclideanSpace
, with methods like stereographic_coordinates
.
comment:5 Changed 2 years ago by
Replying to gh-mjungmath:
By the way, I noticed that the result coming from
sage.manifolds.catalog.Sphere
is not even correct:sage: S.<th, ph> = manifolds.Sphere() sage: S 2-dimensional Riemannian submanifold S embedded in the Euclidean space E^3 sage: S.atlas() [Chart (S, (th, ph))]This is not a correct atlas.
Indeed. As I say in comment:1, the catalog is in a primitive stage.
comment:6 Changed 2 years ago by
Now I see what you mean. I first thought that "primitive" was just referring to the amount of examples.
That's good: there's still work to do. :)
comment:7 Changed 2 years ago by
Cc: | Tobias Diez added |
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comment:8 Changed 2 years ago by
Description: | modified (diff) |
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Summary: | Add Sphere and Hyperbolic Space Permanently → Add Models to Manifolds Catalog |
Type: | enhancement → task |
comment:9 Changed 2 years ago by
Description: | modified (diff) |
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comment:10 Changed 2 years ago by
Description: | modified (diff) |
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comment:11 Changed 2 years ago by
Description: | modified (diff) |
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Summary: | Add Models to Manifolds Catalog → Add Examples to Manifolds Catalog |
comment:12 Changed 2 years ago by
Description: | modified (diff) |
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comment:13 Changed 2 years ago by
Description: | modified (diff) |
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comment:14 Changed 2 years ago by
Milestone: | sage-9.2 → sage-9.3 |
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comment:15 Changed 2 years ago by
Description: | modified (diff) |
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comment:16 Changed 21 months ago by
Description: | modified (diff) |
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comment:17 Changed 21 months ago by
Description: | modified (diff) |
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comment:18 Changed 20 months ago by
Milestone: | sage-9.3 → sage-9.4 |
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Setting new milestone based on a cursory review of ticket status, priority, and last modification date.
comment:19 follow-up: 20 Changed 18 months ago by
There is also some old code in sage.geometry.riemannian_manifolds that seems to provide some examples
comment:20 Changed 18 months ago by
Replying to mkoeppe:
There is also some old code in sage.geometry.riemannian_manifolds that seems to provide some examples
Indeed! These examples should be integrated into the catalog and then sage.geometry.riemannian_manifolds
should be deprecated, since all the functionalities it contains are available in sage.manifolds.differentiable.pseudo_riemannian_submanifold
.
comment:21 Changed 15 months ago by
Description: | modified (diff) |
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comment:22 Changed 15 months ago by
Description: | modified (diff) |
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comment:23 Changed 15 months ago by
Description: | modified (diff) |
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This sounds like a very good idea!
Note that in order not to clutter the global namespace, one can let access to the sphere and the hyperbolic space via the manifold catalog. The current version of the catalog is very primitive and the function
Sphere()
in it should call the constructor the sphere class, as soon as the latter is ready.