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rdf:type
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Description
| - This long survey paper represents an introduction to a recently developed formalism which is aimed primarily at a systematic description of certain phenomena related to the geometry of systems of differential equations in normal form. These equations are represented by connections on prolongations of a fibered manifold. We recalls some notions and results about jet prolongations of sections, morphisms and vector fields, total derivatives, the contact structure and the Cartan distribution on $J\sp k\pi$, repeated jets and higher-order connections on $\pi$. Then the integrability, the prolongations, reductions and symmetries of higher-order differential equations are studied. Some integration methods of fields of paths are discussed. In fact,since the higher-order connections may be composed with suitable morphisms, they may be viewed as the integral sections of some other connections. Finally, semispray connections are studied.
- This long survey paper represents an introduction to a recently developed formalism which is aimed primarily at a systematic description of certain phenomena related to the geometry of systems of differential equations in normal form. These equations are represented by connections on prolongations of a fibered manifold. We recalls some notions and results about jet prolongations of sections, morphisms and vector fields, total derivatives, the contact structure and the Cartan distribution on $J\sp k\pi$, repeated jets and higher-order connections on $\pi$. Then the integrability, the prolongations, reductions and symmetries of higher-order differential equations are studied. Some integration methods of fields of paths are discussed. In fact,since the higher-order connections may be composed with suitable morphisms, they may be viewed as the integral sections of some other connections. Finally, semispray connections are studied. (en)
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Title
| - Higher-order differential represented by connections on prolongations of a fibered manifold
- Higher-order differential represented by connections on prolongations of a fibered manifold (en)
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skos:prefLabel
| - Higher-order differential represented by connections on prolongations of a fibered manifold
- Higher-order differential represented by connections on prolongations of a fibered manifold (en)
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skos:notation
| - RIV/47813059:19610/00:00000034!RIV/2002/GA0/196102/N
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA201/97/0001), Z(MSM 192400002)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/47813059:19610/00:00000034
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - %22ordinary differential equations, semispray, semispray connection, dynamical connection; admissible deformation; k-th order tangent bundle;characterizable connection; fields of paths; reduced connection; PDE; Pfaffian systems; symmetries%22 (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - ES - Španělské království
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...ocetUcastnikuAkce
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http://linked.open...nichUcastnikuAkce
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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