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Description
  • We discuss two kinds of functorial prolongations of the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. We study the prolongation of vector fields in both cases and we prove that the bracket is preserved. Our proof is based on several new results concerning the finite dimensional Weil bundles.
  • We discuss two kinds of functorial prolongations of the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. We study the prolongation of vector fields in both cases and we prove that the bracket is preserved. Our proof is based on several new results concerning the finite dimensional Weil bundles. (en)
  • Jsou studovány dva druhy funktoriálního prodloužení bandlu hladkých zobrazení mezi fibrovými bandly. Prodloužení vektorových polí jsou studována v obou případech a je dokázáno, že je zachována Lieova závorka vektorových polí. Důkazy jsou založeny na několika nových výsledcích z teorie konečnědimensionálních Weilových bandlů. (cs)
Title
  • Funktoriální prodlužování některých funkčních bandlů (cs)
  • Functorial prolongation of some functional bundles
  • Functorial prolongation of some functional bundles (en)
skos:prefLabel
  • Funktoriální prodlužování některých funkčních bandlů (cs)
  • Functorial prolongation of some functional bundles
  • Functorial prolongation of some functional bundles (en)
skos:notation
  • RIV/00216224:14310/04:00011095!RIV08-MSM-14310___
http://linked.open.../vavai/riv/strany
  • 17-30
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 143100009)
http://linked.open...iv/cisloPeriodika
  • 1
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
  • 565010
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/04:00011095
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • functional bundle; prolongational functor (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [FD21C638B139]
http://linked.open...i/riv/nazevZdroje
  • Annales Academiae Paedagogicae Cracoviensis, Studia Mathematica IV
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2004
http://linked.open...iv/tvurceVysledku
  • Janyška, Josef
  • Kolář, Ivan
  • Cabras, Antonela
http://linked.open...n/vavai/riv/zamer
issn
  • 1643-6555
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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