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  • The purpose of this research-expository work is to introduce basic concepts of the theory of jets, and to study their general properties. An r-jet of a real function of several real variables at a point is simply the collection of the coefficients of ther-th Taylor polynomial of f at this point. The concept of an r-jet is easily generalized to differentiable mappings of smooth manifolds in terms of charts. The structure of the following manifolds of jets is discussed: (a) higher order differential grou ps, (b) jets of mappings of a Euclidean space into a manifold, with source at the origin (velocities, regular velocities, higher order frames), (c) manifolds of contact elements (higher order Grassmann prolongations of a manifold), i.e., the quotients ofmanifolds of regular velocities by the differential groups acting on them. (d) jet prolongations of fibered manifolds and fibrations, (e) jet prolongations of Lie groups, Lie group actions, principal and associated bundles.
  • The purpose of this research-expository work is to introduce basic concepts of the theory of jets, and to study their general properties. An r-jet of a real function of several real variables at a point is simply the collection of the coefficients of ther-th Taylor polynomial of f at this point. The concept of an r-jet is easily generalized to differentiable mappings of smooth manifolds in terms of charts. The structure of the following manifolds of jets is discussed: (a) higher order differential grou ps, (b) jets of mappings of a Euclidean space into a manifold, with source at the origin (velocities, regular velocities, higher order frames), (c) manifolds of contact elements (higher order Grassmann prolongations of a manifold), i.e., the quotients ofmanifolds of regular velocities by the differential groups acting on them. (d) jet prolongations of fibered manifolds and fibrations, (e) jet prolongations of Lie groups, Lie group actions, principal and associated bundles. (en)
Title
  • Jets and contact elements
  • Jets and contact elements (en)
skos:prefLabel
  • Jets and contact elements
  • Jets and contact elements (en)
skos:notation
  • RIV/47813059:19610/00:00000048!RIV/2001/MSM/196101/N
http://linked.open.../vavai/riv/strany
  • 39
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 192400002)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Krupka, Demeter
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 714496
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/00:00000048
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Jet; regular jet; velocity; differential groups; frame; contact element; Grassmann prolongation; pro (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [CACE23143D5A]
http://linked.open...i/riv/mistoVydani
  • Opava, ČR
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the Seminar on Differential Geometry
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Krupka, Demeter
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Slezská univerzita v Opavě
https://schema.org/isbn
  • 80-7248-104-5
http://localhost/t...ganizacniJednotka
  • 19610
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