[Merged by Bors] - feat(Manifold/VectorBundle): tensoriality construction#36432
Closed
grunweg wants to merge 15 commits intoleanprover-community:masterfrom
Closed
[Merged by Bors] - feat(Manifold/VectorBundle): tensoriality construction#36432grunweg wants to merge 15 commits intoleanprover-community:masterfrom
grunweg wants to merge 15 commits intoleanprover-community:masterfrom
Conversation
Extend an element of a fiber at a point to a local section.
Co-authored-by: Anatole Dedecker <anatolededecker@gmail.com> Co-authored-by: Oliver Nash <7734364+ocfnash@users.noreply.github.com>
✅ PR Title Formatted CorrectlyThe title of this PR has been updated to match our commit style conventions. |
PR summary 5c8398df52Import changes for modified filesNo significant changes to the import graph Import changes for all files
|
1 task
Contributor
Author
|
This PR is #36277 with only review comments addressed: as that PR has been delegated, let me bors this PR myself. |
mathlib-bors bot
pushed a commit
that referenced
this pull request
Mar 10, 2026
Given vector bundles `V` and `W` over a manifold, one can construct a section of the hom-bundle `Π x, V x →L[𝕜] W x` from a *tensorial* operation sending sections of `V` to sections of `W`. This PR provides this construction. Future PRs will use this to prove locality results about covariant derivatives. From the path towards Riemannian geometry, including geodesics and the Levi-Civita connection. Co-authored-by: Heather Macbeth [25316162+hrmacbeth@users.noreply.github.com](mailto:25316162+hrmacbeth@users.noreply.github.com) Co-authored-by: Patrick Massot <mailto:patrickmassot@free.fr> Co-authored-by: Patrick Massot <patrickmassot@free.fr> Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com>
1 task
Contributor
|
Pull request successfully merged into master. Build succeeded:
|
2 tasks
justus-springer
pushed a commit
to justus-springer/mathlib4
that referenced
this pull request
Mar 28, 2026
…uous linear equivalences (leanprover-community#36435) and use this to remove mathematically superfluous typeclass hypotheses in the tensoriality criterion. Follow-up to leanprover-community#36277/leanprover-community#36432.
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
3 participants
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
Given vector bundles
VandWover a manifold, one can construct a section of the hom-bundleΠ x, V x →L[𝕜] W xfrom a tensorial operation sending sections ofVto sections ofW. This PR provides this construction.Future PRs will use this to prove locality results about covariant derivatives.
From the path towards Riemannian geometry, including geodesics and the Levi-Civita connection.
Co-authored-by: Heather Macbeth 25316162+hrmacbeth@users.noreply.github.com
Co-authored-by: Patrick Massot mailto:patrickmassot@free.fr
#36277 but with review ocmments being adressed - for some reason, I couldn't push to the PR