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- 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 wikiPageRevisionID "605934975".
- Jet_bundle hasPhotoCollection Jet_bundle.
- Jet_bundle subject Category:Differential_equations.
- Jet_bundle subject Category:Differential_topology.
- Jet_bundle subject Category:Fiber_bundles.
- Jet_bundle type Abstraction100002137.
- Jet_bundle type Communication100033020.
- Jet_bundle type DifferentialEquation106670521.
- Jet_bundle type DifferentialEquations.
- Jet_bundle type Equation106669864.
- Jet_bundle type MathematicalStatement106732169.
- Jet_bundle type Message106598915.
- Jet_bundle type Statement106722453.
- 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 label "节丛".
- Jet_bundle sameAs m.03qs80.
- Jet_bundle sameAs Q6188933.
- Jet_bundle sameAs Q6188933.
- Jet_bundle sameAs Jet_bundle.
- Jet_bundle wasDerivedFrom Jet_bundle?oldid=605934975.
- Jet_bundle depiction Jet_Bundle_Image_FbN.png.
- Jet_bundle isPrimaryTopicOf Jet_bundle.
