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- Darbouxs_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.".
- Darbouxs_theorem wikiPageExternalLink bpt6k68005v.
- Darbouxs_theorem wikiPageExternalLink darboux_-_pfaff_problem_i.pdf.
- Darbouxs_theorem wikiPageExternalLink darboux_-_pfaff_problem_ii.pdf.
- Darbouxs_theorem wikiPageID "1543358".
- Darbouxs_theorem wikiPageLength "5602".
- Darbouxs_theorem wikiPageOutDegree "30".
- Darbouxs_theorem wikiPageRevisionID "607144472".
- Darbouxs_theorem wikiPageWikiLink Carathéodory–Jacobi–Lie_theorem.
- Darbouxs_theorem wikiPageWikiLink Category:Coordinate_systems_in_differential_geometry.
- Darbouxs_theorem wikiPageWikiLink Category:Differential_systems.
- Darbouxs_theorem wikiPageWikiLink Category:Mathematical_physics.
- Darbouxs_theorem wikiPageWikiLink Category:Symplectic_geometry.
- Darbouxs_theorem wikiPageWikiLink Category:Theorems_in_differential_geometry.
- Darbouxs_theorem wikiPageWikiLink Closed_and_exact_differential_forms.
- Darbouxs_theorem wikiPageWikiLink Contact_geometry.
- Darbouxs_theorem wikiPageWikiLink Cover_(topology).
- Darbouxs_theorem wikiPageWikiLink Curvature_of_Riemannian_manifolds.
- Darbouxs_theorem wikiPageWikiLink Darboux_frame.
- Darbouxs_theorem wikiPageWikiLink Differential_form.
- Darbouxs_theorem wikiPageWikiLink Differential_geometry.
- Darbouxs_theorem wikiPageWikiLink Exterior_algebra.
- Darbouxs_theorem wikiPageWikiLink Exterior_derivative.
- Darbouxs_theorem wikiPageWikiLink Frobenius_theorem_(differential_topology).
- Darbouxs_theorem wikiPageWikiLink Intermediate_value_theorem.
- Darbouxs_theorem wikiPageWikiLink Jean_Gaston_Darboux.
- Darbouxs_theorem wikiPageWikiLink Johann_Friedrich_Pfaff.
- Darbouxs_theorem wikiPageWikiLink Manifold.
- Darbouxs_theorem wikiPageWikiLink Mathematics.
- Darbouxs_theorem wikiPageWikiLink Metric_tensor.
- Darbouxs_theorem wikiPageWikiLink Pullback_(differential_geometry).
- Darbouxs_theorem wikiPageWikiLink Riemannian_geometry.
- Darbouxs_theorem wikiPageWikiLink Symplectic_basis.
- Darbouxs_theorem wikiPageWikiLink Symplectic_geometry.
- Darbouxs_theorem wikiPageWikiLink Symplectic_manifold.
- Darbouxs_theorem wikiPageWikiLink Symplectic_vector_space.
- Darbouxs_theorem wikiPageWikiLink Symplectomorphism.
- Darbouxs_theorem wikiPageWikiLink Theorem.
- Darbouxs_theorem wikiPageWikiLinkText "Darboux coordinates".
- Darbouxs_theorem wikiPageWikiLinkText "Darboux's theorem".
- Darbouxs_theorem id "5589".
- Darbouxs_theorem title "Proof of Darboux's Theorem".
- Darbouxs_theorem wikiPageUsesTemplate Template:About.
- Darbouxs_theorem wikiPageUsesTemplate Template:Cite_book.
- Darbouxs_theorem wikiPageUsesTemplate Template:Cite_journal.
- Darbouxs_theorem wikiPageUsesTemplate Template:Planetmath_reference.
- Darbouxs_theorem subject Category:Coordinate_systems_in_differential_geometry.
- Darbouxs_theorem subject Category:Differential_systems.
- Darbouxs_theorem subject Category:Mathematical_physics.
- Darbouxs_theorem subject Category:Symplectic_geometry.
- Darbouxs_theorem subject Category:Theorems_in_differential_geometry.
- Darbouxs_theorem hypernym Theorem.
- Darbouxs_theorem type Physic.
- Darbouxs_theorem type Redirect.
- Darbouxs_theorem type Theorem.
- Darbouxs_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.".
- Darbouxs_theorem label "Darboux's theorem".
- Darbouxs_theorem sameAs Q1058662.
- Darbouxs_theorem sameAs Teorema_de_Darboux.
- Darbouxs_theorem sameAs Théorème_de_Darboux_(géométrie).
- Darbouxs_theorem sameAs ダルブーの定理.
- Darbouxs_theorem sameAs 다르부의_정리_(기하학).
- Darbouxs_theorem sameAs m.0591nh.
- Darbouxs_theorem sameAs Теорема_Дарбу_в_симплектической_геометрии.
- Darbouxs_theorem sameAs Q1058662.
- Darbouxs_theorem sameAs 达布定理_(微分几何).
- Darbouxs_theorem wasDerivedFrom Darbouxs_theorem?oldid=607144472.
- Darbouxs_theorem isPrimaryTopicOf Darbouxs_theorem.