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- Darboux's_theorem abstract "Darboux's theorem is a theorem in the mathematical field of differential geometry and more specifically differential forms, partially generalizing the Frobenius integration theorem. It is a foundational result in several fields, the chief among them being symplectic geometry. The theorem is named after Jean Gaston Darboux who established it as the solution of the Pfaff problem.One of the many consequences of the theorem is that any two symplectic manifolds of the same dimension are locally symplectomorphic to one another. That is, every 2n-dimensional symplectic manifold can be made to look locally like the linear symplectic space Cn with its canonical symplectic form. There is also an analogous consequence of the theorem as applied to contact geometry.".
- Darboux's_theorem wikiPageExternalLink bpt6k68005v.
- Darboux's_theorem wikiPageExternalLink darboux_-_pfaff_problem_i.pdf.
- Darboux's_theorem wikiPageExternalLink darboux_-_pfaff_problem_ii.pdf.
- Darboux's_theorem wikiPageID "1543358".
- Darboux's_theorem wikiPageRevisionID "604117361".
- Darboux's_theorem hasPhotoCollection Darboux's_theorem.
- Darboux's_theorem id "5589".
- Darboux's_theorem title "Proof of Darboux's Theorem".
- Darboux's_theorem subject Category:Coordinate_systems_in_differential_geometry.
- Darboux's_theorem subject Category:Differential_systems.
- Darboux's_theorem subject Category:Mathematical_physics.
- Darboux's_theorem subject Category:Symplectic_geometry.
- Darboux's_theorem subject Category:Theorems_in_differential_geometry.
- Darboux's_theorem type Abstraction100002137.
- Darboux's_theorem type Arrangement105726596.
- Darboux's_theorem type Cognition100023271.
- Darboux's_theorem type Communication100033020.
- Darboux's_theorem type CoordinateSystem105728024.
- Darboux's_theorem type CoordinateSystemsInDifferentialGeometry.
- Darboux's_theorem type Message106598915.
- Darboux's_theorem type Proposition106750804.
- Darboux's_theorem type PsychologicalFeature100023100.
- Darboux's_theorem type Statement106722453.
- Darboux's_theorem type Structure105726345.
- Darboux's_theorem type Theorem106752293.
- Darboux's_theorem type TheoremsInDifferentialGeometry.
- Darboux's_theorem type TheoremsInGeometry.
- Darboux's_theorem comment "Darboux's theorem is a theorem in the mathematical field of differential geometry and more specifically differential forms, partially generalizing the Frobenius integration theorem. It is a foundational result in several fields, the chief among them being symplectic geometry.".
- Darboux's_theorem label "Darboux's theorem".
- Darboux's_theorem label "Teorema de Darboux".
- Darboux's_theorem label "Théorème de Darboux (géométrie)".
- Darboux's_theorem label "ダルブーの定理".
- Darboux's_theorem label "达布定理 (微分几何)".
- Darboux's_theorem sameAs Teorema_de_Darboux.
- Darboux's_theorem sameAs Théorème_de_Darboux_(géométrie).
- Darboux's_theorem sameAs ダルブーの定理.
- Darboux's_theorem sameAs 다르부의_정리_(기하학).
- Darboux's_theorem sameAs m.0591nh.
- Darboux's_theorem sameAs Q1058662.
- Darboux's_theorem sameAs Q1058662.
- Darboux's_theorem sameAs Darboux's_theorem.
- Darboux's_theorem wasDerivedFrom Darboux's_theorem?oldid=604117361.
- Darboux's_theorem isPrimaryTopicOf Darboux's_theorem.