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Description
  • For an m-dimensional manifold M, a Weil algebra A-D^r_k/I and a Lie group homomorphism p mapping the jet group G^r_m to the group of algebra automorphisms of A we define the concept of a (p,A)-covelocity extending restrictions of covelocities T^A_xf from the orbits of the certain subgroup G^r_p,k of G^r_k to the whole G^r_k determined by p. It is proved that such objects together with some kind of associated maps forms the structure of a natural bundle over M with the standard fiber formed by the nipotent ideal of A. Further, we introduce bundle functors J^A_p of (p,A)-jets and give their geometrical description.
  • For an m-dimensional manifold M, a Weil algebra A-D^r_k/I and a Lie group homomorphism p mapping the jet group G^r_m to the group of algebra automorphisms of A we define the concept of a (p,A)-covelocity extending restrictions of covelocities T^A_xf from the orbits of the certain subgroup G^r_p,k of G^r_k to the whole G^r_k determined by p. It is proved that such objects together with some kind of associated maps forms the structure of a natural bundle over M with the standard fiber formed by the nipotent ideal of A. Further, we introduce bundle functors J^A_p of (p,A)-jets and give their geometrical description. (en)
Title
  • Bundles of A-covelocities and A-jets
  • Bundles of A-covelocities and A-jets (en)
skos:prefLabel
  • Bundles of A-covelocities and A-jets
  • Bundles of A-covelocities and A-jets (en)
skos:notation
  • RIV/00216305:26310/13:PU103204!RIV14-MSM-26310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 64031
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26310/13:PU103204
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • r-jet, bundle functor, natural bundle, Weil functor, Lie group. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • HU - Maďarsko
http://linked.open...ontrolniKodProRIV
  • [C201F65BCF92]
http://linked.open...i/riv/nazevZdroje
  • Miskolc Mathematical Notes
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 14
http://linked.open...iv/tvurceVysledku
  • Tomáš, Jiří
issn
  • 1787-2405
number of pages
http://localhost/t...ganizacniJednotka
  • 26310
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