[Merged by Bors] - chore: split IntegralCurve#18833
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winstonyin wants to merge 4 commits intomasterfrom
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[Merged by Bors] - chore: split IntegralCurve#18833winstonyin wants to merge 4 commits intomasterfrom
IntegralCurve#18833winstonyin wants to merge 4 commits intomasterfrom
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PR summary 55ffaa733fImport changes for modified filesNo significant changes to the import graph Import changes for all files
Declarations diffNo declarations were harmed in the making of this PR! 🐙 You can run this locally as follows## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for |
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grunweg
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Nov 11, 2024
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Two small comments, otherwise LGTM. Thanks for doing this!
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Thanks! |
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🚀 Pull request has been placed on the maintainer queue by grunweg. |
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bors merge |
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Nov 12, 2024
Split `Mathlib.Geometry.Manifold.IntegralCurve` into three files: * `Mathlib.Geometry.Manifold.IntegralCurve.Basic`: Definitions and basic lemmas about continuity and derivatives of integral curves * `Mathlib.Geometry.Manifold.IntegralCurve.Transform`: Lemmas about translation and scaling of the domain of integral curves by a constant * `Mathlib.Geometry.Manifold.IntegralCurve.ExistUnique`: Local existence and uniqueness theorems for integral curves No content has been substantively changed from the original file. This is to prepare for #9013, which proves a sufficient condition for global existence of integral curves. That'll go in another new file.
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Pull request successfully merged into master. Build succeeded: |
IntegralCurveIntegralCurve
Jun2M
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Nov 17, 2024
Split `Mathlib.Geometry.Manifold.IntegralCurve` into three files: * `Mathlib.Geometry.Manifold.IntegralCurve.Basic`: Definitions and basic lemmas about continuity and derivatives of integral curves * `Mathlib.Geometry.Manifold.IntegralCurve.Transform`: Lemmas about translation and scaling of the domain of integral curves by a constant * `Mathlib.Geometry.Manifold.IntegralCurve.ExistUnique`: Local existence and uniqueness theorems for integral curves No content has been substantively changed from the original file. This is to prepare for #9013, which proves a sufficient condition for global existence of integral curves. That'll go in another new file.
TobiasLeichtfried
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Nov 21, 2024
Split `Mathlib.Geometry.Manifold.IntegralCurve` into three files: * `Mathlib.Geometry.Manifold.IntegralCurve.Basic`: Definitions and basic lemmas about continuity and derivatives of integral curves * `Mathlib.Geometry.Manifold.IntegralCurve.Transform`: Lemmas about translation and scaling of the domain of integral curves by a constant * `Mathlib.Geometry.Manifold.IntegralCurve.ExistUnique`: Local existence and uniqueness theorems for integral curves No content has been substantively changed from the original file. This is to prepare for #9013, which proves a sufficient condition for global existence of integral curves. That'll go in another new file.
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Nov 27, 2024
…9013) Lemma 9.15 in Lee's Introduction to Smooth Manifolds: > Let `v` be a smooth vector field on a smooth manifold `M`. If there exists `ε > 0` such that for each point `x : M`, there exists an integral curve of `v` through `x` defined on an open interval `Ioo (-ε) ε`, then every point on `M` has a global integral curve of `v` passing through it. We only require `v` to be $C^1$. To achieve this, we define the extension of an integral curve `γ` by another integral curve `γ'`, if they agree at a point inside their overlapping open interval domains. This utilises the uniqueness theorem of integral curves. We need this lemma to show that vector fields on compact manifolds always have global integral curves. - [x] depends on: #8886 - [x] depends on: #18833 - [x] depends on: #19008 Co-authored-by: Michael Rothgang <rothgang@math.uni-bonn.de> Co-authored-by: Johan Commelin <johan@commelin.net>
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Split
Mathlib.Geometry.Manifold.IntegralCurveinto three files:Mathlib.Geometry.Manifold.IntegralCurve.Basic: Definitions and basic lemmas about continuity and derivatives of integral curvesMathlib.Geometry.Manifold.IntegralCurve.Transform: Lemmas about translation and scaling of the domain of integral curves by a constantMathlib.Geometry.Manifold.IntegralCurve.ExistUnique: Local existence and uniqueness theorems for integral curvesNo content has been substantively changed from the original file. This is to prepare for #9013, which proves a sufficient condition for global existence of integral curves. That'll go in another new file.