Opened 23 months ago
Closed 23 months ago
#28072 closed defect (fixed)
Issue in calculus on manifolds with incomplete set of transition maps
Reported by: | egourgoulhon | Owned by: | |
---|---|---|---|
Priority: | major | Milestone: | sage-8.9 |
Component: | geometry | Keywords: | manifolds, scalar field |
Cc: | tscrim | Merged in: | |
Authors: | Eric Gourgoulhon | Reviewers: | Travis Scrimshaw |
Report Upstream: | N/A | Work issues: | |
Branch: | 7d13b13 (Commits, GitHub, GitLab) | Commit: | 7d13b136fc258009992a042953ffdf3085edecf0 |
Dependencies: | Stopgaps: |
Description (last modified by )
In Sage 8.8, we have
sage: M = Manifold(2, 'M') sage: X.<x,y> = M.chart() sage: Y.<u,v> = M.chart() sage: X_to_Y = X.transition_map(Y, [x+y, x-y]) sage: f = M.scalar_field({X: x*y}) sage: g = M.scalar_field({Y: u*v}) sage: f + g ... KeyError: (Chart (M, (u, v)), Chart (M, (x, y)))
If one initializes the inverse transition map, things are OK:
sage: X_to_Y.inverse() Change of coordinates from Chart (M, (u, v)) to Chart (M, (x, y)) sage: f + g Scalar field on the 2-dimensional differentiable manifold M sage: _.display() M --> R (x, y) |--> x^2 + x*y - y^2 (u, v) |--> 1/4*u^2 + u*v - 1/4*v^2
But even without knowing the inverse transition map, Sage should be capable to compute the value of f + g
, with the result expressed in the chart X
only.
Change History (4)
comment:1 Changed 23 months ago by
- Branch set to public/manifolds/incomplete_transition_map-28072
- Cc tscrim added
- Commit set to 7d13b136fc258009992a042953ffdf3085edecf0
- Description modified (diff)
- Status changed from new to needs_review
comment:2 Changed 23 months ago by
- Reviewers set to Travis Scrimshaw
- Status changed from needs_review to positive_review
LGTM.
comment:3 Changed 23 months ago by
Thanks for the review!
comment:4 Changed 23 months ago by
- Branch changed from public/manifolds/incomplete_transition_map-28072 to 7d13b136fc258009992a042953ffdf3085edecf0
- Resolution set to fixed
- Status changed from positive_review to closed
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Fix issue with incomplete set of transition maps (Trac #28072)