Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Jet_bundle> ?p ?o }
- Jet_bundle abstract "In differential geometry, the jet bundle is a certain construction that makes a new smooth fiber bundle out of a given smooth fiber bundle. It makes it possible to write differential equations on sections of a fiber bundle in an invariant form. Jets may also be seen as the coordinate free versions of Taylor expansions.Historically, jet bundles are attributed to Ehresmann, and were an advance on the method (prolongation) of Élie Cartan, of dealing geometrically with higher derivatives, by imposing differential form conditions on newly introduced formal variables. Jet bundles are sometimes called sprays, although sprays usually refer more specifically to the associated vector field induced on the corresponding bundle (e.g., the geodesic spray on Finsler manifolds.)More recently, jet bundles have appeared as a concise way to describe phenomena associated with the derivatives of maps, particularly those associated with the calculus of variations. Consequently, the jet bundle is now recognized as the correct domain for a geometrical covariant field theory and much work is done in general relativistic formulations of fields using this approach.".
- Jet_bundle thumbnail Jet_Bundle_Image_FbN.png?width=300.
- Jet_bundle wikiPageExternalLink KSM.
- Jet_bundle wikiPageExternalLink 0908.1886.
- Jet_bundle wikiPageID "928060".
- Jet_bundle wikiPageLength "33958".
- Jet_bundle wikiPageOutDegree "65".
- Jet_bundle wikiPageRevisionID "668837978".
- Jet_bundle wikiPageWikiLink C-spectral_sequence.
- Jet_bundle wikiPageWikiLink Calculus_of_variations.
- Jet_bundle wikiPageWikiLink Category:Differential_equations.
- Jet_bundle wikiPageWikiLink Category:Differential_topology.
- Jet_bundle wikiPageWikiLink Category:Fiber_bundles.
- Jet_bundle wikiPageWikiLink Charles_Ehresmann.
- Jet_bundle wikiPageWikiLink Closed_manifold.
- Jet_bundle wikiPageWikiLink Contact_form.
- Jet_bundle wikiPageWikiLink Contact_geometry.
- Jet_bundle wikiPageWikiLink Coordinate_chart.
- Jet_bundle wikiPageWikiLink Coordinate_system.
- Jet_bundle wikiPageWikiLink Covariant_classical_field_theory.
- Jet_bundle wikiPageWikiLink Derivative.
- Jet_bundle wikiPageWikiLink Diffeomorphism.
- Jet_bundle wikiPageWikiLink Differentiable_manifold.
- Jet_bundle wikiPageWikiLink Differential_calculus_over_commutative_algebras.
- Jet_bundle wikiPageWikiLink Differential_equation.
- Jet_bundle wikiPageWikiLink Differential_form.
- Jet_bundle wikiPageWikiLink Differential_geometry.
- Jet_bundle wikiPageWikiLink Diffiety.
- Jet_bundle wikiPageWikiLink Dimension_(vector_space).
- Jet_bundle wikiPageWikiLink Direct_limit.
- Jet_bundle wikiPageWikiLink Distribution_(differential_geometry).
- Jet_bundle wikiPageWikiLink Ehresmann.
- Jet_bundle wikiPageWikiLink Embedding.
- Jet_bundle wikiPageWikiLink Equivalence_class.
- Jet_bundle wikiPageWikiLink Equivalence_relation.
- Jet_bundle wikiPageWikiLink Exterior_derivative.
- Jet_bundle wikiPageWikiLink Fiber_bundle.
- Jet_bundle wikiPageWikiLink File:Jet_Bundle_Image_FbN.png.
- Jet_bundle wikiPageWikiLink Finite-dimensional.
- Jet_bundle wikiPageWikiLink Finsler_manifold.
- Jet_bundle wikiPageWikiLink General_relativity.
- Jet_bundle wikiPageWikiLink Gennadi_Sardanashvily.
- Jet_bundle wikiPageWikiLink Geodesic.
- Jet_bundle wikiPageWikiLink Geodesic_spray.
- Jet_bundle wikiPageWikiLink Ideal_(ring_theory).
- Jet_bundle wikiPageWikiLink Identity_function.
- Jet_bundle wikiPageWikiLink Injective.
- Jet_bundle wikiPageWikiLink Injective_function.
- Jet_bundle wikiPageWikiLink Inverse_limit.
- Jet_bundle wikiPageWikiLink Jet_(mathematics).
- Jet_bundle wikiPageWikiLink Jet_group.
- Jet_bundle wikiPageWikiLink Lagrangian_system.
- Jet_bundle wikiPageWikiLink Lie_derivative.
- Jet_bundle wikiPageWikiLink Linear_combination.
- Jet_bundle wikiPageWikiLink Manifold.
- Jet_bundle wikiPageWikiLink Multi-index.
- Jet_bundle wikiPageWikiLink Multi-index_notation.
- Jet_bundle wikiPageWikiLink One-form.
- Jet_bundle wikiPageWikiLink Partial_differential_equation.
- Jet_bundle wikiPageWikiLink Prolongation_(mathematics).
- Jet_bundle wikiPageWikiLink Pullback_(differential_geometry).
- Jet_bundle wikiPageWikiLink Smooth_function.
- Jet_bundle wikiPageWikiLink Smooth_manifold.
- Jet_bundle wikiPageWikiLink Smoothness.
- Jet_bundle wikiPageWikiLink Spray_(mathematics).
- Jet_bundle wikiPageWikiLink Submersion_(mathematics).
- Jet_bundle wikiPageWikiLink Surjective.
- Jet_bundle wikiPageWikiLink Surjective_function.
- Jet_bundle wikiPageWikiLink Tangent_bundle.
- Jet_bundle wikiPageWikiLink Tangent_vector.
- Jet_bundle wikiPageWikiLink Taylor_expansions.
- Jet_bundle wikiPageWikiLink Taylor_series.
- Jet_bundle wikiPageWikiLink Total_derivative.
- Jet_bundle wikiPageWikiLink Trivial_bundle.
- Jet_bundle wikiPageWikiLink Variational_bicomplex.
- Jet_bundle wikiPageWikiLink Vector_field.
- Jet_bundle wikiPageWikiLink Élie_Cartan.
- Jet_bundle wikiPageWikiLinkText "1-jet".
- Jet_bundle wikiPageWikiLinkText "Jet bundle".
- Jet_bundle wikiPageWikiLinkText "contact system".
- Jet_bundle wikiPageWikiLinkText "jet bundle".
- Jet_bundle wikiPageWikiLinkText "jet manifold".
- Jet_bundle wikiPageWikiLinkText "jet manifolds".
- Jet_bundle wikiPageWikiLinkText "jet spaces".
- Jet_bundle wikiPageWikiLinkText "second order jet bundle".
- Jet_bundle hasPhotoCollection Jet_bundle.
- Jet_bundle wikiPageUsesTemplate Template:Main.
- Jet_bundle subject Category:Differential_equations.
- Jet_bundle subject Category:Differential_topology.
- Jet_bundle subject Category:Fiber_bundles.
- Jet_bundle hypernym Construction.
- Jet_bundle type Company.
- Jet_bundle type Bundle.
- Jet_bundle type Physic.
- Jet_bundle comment "In differential geometry, the jet bundle is a certain construction that makes a new smooth fiber bundle out of a given smooth fiber bundle. It makes it possible to write differential equations on sections of a fiber bundle in an invariant form.".
- Jet_bundle label "Jet bundle".
- Jet_bundle sameAs m.03qs80.
- Jet_bundle sameAs Q6188933.
- Jet_bundle sameAs Q6188933.
- Jet_bundle sameAs 节丛.