Opened 16 months ago
Closed 16 months ago
#28344 closed defect (fixed)
Fix some issues with submanifolds and improve their documentation
Reported by: | egourgoulhon | Owned by: | |
---|---|---|---|
Priority: | major | Milestone: | sage-8.9 |
Component: | geometry | Keywords: | manifold, submanifold |
Cc: | gh-FlorentinJ, tscrim | Merged in: | |
Authors: | Eric Gourgoulhon | Reviewers: | Travis Scrimshaw |
Report Upstream: | N/A | Work issues: | |
Branch: | 10d5853 (Commits) | Commit: | 10d5853c00a8d2da510e19ff795a430a06d2c0d5 |
Dependencies: | Stopgaps: |
Description
When constructing a submanifold with Sage 8.8, some options are not taken into account:
sage: M = Manifold(3, 'M') sage: S = Manifold(2, 'S', ambient=M, latex_name=r'\Sigma', start_index=1) sage: latex(S) S sage: S.start_index() 0
Moreover the start_index
parameter is not handled properly in some computational methods of class PseudoRiemannianSubmanifold
, namely shift()
and second_fundamental_form()
.
Another issue regards the generation of adapted coordinates in method TopologicalSubmanifold.adapted_chart()
: if the ambient manifold contains a caret in its name, like E^3
, the generated variable names in SR.var()
are not valid Python identifiers.
This ticket fixes the above issues and improves significantly the documentation of submanifolds.
Change History (8)
comment:1 Changed 16 months ago by
- Branch set to public/manifolds/submanifolds_some_fixes
- Commit set to a7843a4207df3445db70d5be7e23fa8b469b0a12
comment:2 Changed 16 months ago by
- Cc gh-FlorentinJ tscrim added
- Status changed from new to needs_review
comment:3 follow-up: ↓ 5 Changed 16 months ago by
Some comments:
Missing linebreak:
raise NotImplementedError("mixed_projection() is implemented only " "for hypersurfaces")
Occurs 3 times.
I would probably write this as \cdots
since it is a multiplication operation
- n = \vec{*}(\mathrm{d}x_0\wedge\mathrm{d}x_1\wedge... + n = \vec{*}(\mathrm{d}x_0\wedge\mathrm{d}x_1\wedge\ldots \wedge\mathrm{d}x_{n-1})
but I know some mathematicians have a convention that the only thing that is \cdots
is strictly usual multiplication \cdot
.
Dollar signs snuck in here:
-One can then define the embedding $\phi_t$:: +One can then define the embedding `\phi_t`::
-and the partial inverse expressing the foliation parameter $t$ as a scalar +and the partial inverse expressing the foliation parameter `t` as a scalar
Missing commas after the ...
(which you might consider replacing with \ldots
:
- `(x_1,...,x_n,t_1,...t_{m-n})` on `M` such that `(x_1,...x_n)` are - coordinates on `N` and `(t_1,...t_{m-n})` are the `m-n` free parameters + `(x_1,...,x_n,t_1,...,t_{m-n})` on `M` such that `(x_1,...x_n)` are + coordinates on `N` and `(t_1,...,t_{m-n})` are the `m-n` free parameters
- the names of the coordinates `(x_1,...x_n)` and of the parameters - `(t_1,...t_{m-n})`. If ``None``, ``"_" + self.ambient()._name`` is + the names of the coordinates `(x_1,...,x_n)` and of the parameters + `(t_1,...,t_{m-n})`. If ``None``, ``"_" + self.ambient()._name`` is used - ``latex_postscript`` -- (default: ``None``) string defining the LaTeX name of the coordinates of the adapated chart. This string will be - appended to the LaTeX names of the coordinates `(x_1,...x_n)` and of - the parameters `(t_1,...t_{m-n})`, If ``None``, + appended to the LaTeX names of the coordinates `(x_1,...,x_n)` and of + the parameters `(t_1,...,t_{m-n})`, If ``None``,
comment:4 Changed 16 months ago by
- Commit changed from a7843a4207df3445db70d5be7e23fa8b469b0a12 to 10d5853c00a8d2da510e19ff795a430a06d2c0d5
comment:5 in reply to: ↑ 3 Changed 16 months ago by
Replying to tscrim:
Some comments:
Thanks for yours comments (and prompt reply!). The above commit takes them into account.
comment:6 Changed 16 months ago by
- Reviewers set to Travis Scrimshaw
- Status changed from needs_review to positive_review
Thank you.
comment:7 Changed 16 months ago by
Many thanks for the review!
comment:8 Changed 16 months ago by
- Branch changed from public/manifolds/submanifolds_some_fixes to 10d5853c00a8d2da510e19ff795a430a06d2c0d5
- Resolution set to fixed
- Status changed from positive_review to closed
New commits:
Fix various issues with submanifolds and improve their documentation
Improve _repr_ of submanifolds + doc
Improve documentation of submanifolds