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Description
  • The concepts of both a natural bundle and a natural operator generalized for the case of the category of cartesian product of two manifolds and product of local diffeomorphisms are introduced. The existence of a bijective correspondence between k-th order natural operators and equivariant mappings of corresponding type fibers is proved. A basis of invariants of arbitrary order is constructed for natural operators of smooth mappings of manifolds endowed with metric fields, with values in a natural bundle of order one.
  • The concepts of both a natural bundle and a natural operator generalized for the case of the category of cartesian product of two manifolds and product of local diffeomorphisms are introduced. The existence of a bijective correspondence between k-th order natural operators and equivariant mappings of corresponding type fibers is proved. A basis of invariants of arbitrary order is constructed for natural operators of smooth mappings of manifolds endowed with metric fields, with values in a natural bundle of order one. (en)
  • pojem přirozeného bandlu a přirozeného operátoru je zobecněn pro případ kategorie kartézského součinu variet a součinu lokálních difeomorfismů. Je dokázána existence bijektivní korespondence mezi přirozenými operátory k-tého řádu a ekvivariantními zobrazeními odpovídajících typových vrstev. je zkonstruována báze invariantů obecného řádu pro přirozené operátory hladkých zobrazení variet s metrickými poli a hodnotami v přirozeném bandlu prvního řádu. (cs)
Title
  • Natural operators of smooth mappings of manifolds with metric fields
  • Natural operators of smooth mappings of manifolds with metric fields (en)
  • Přirozené operátory hladkých zobrazení variet s metrickými poli (cs)
skos:prefLabel
  • Natural operators of smooth mappings of manifolds with metric fields
  • Natural operators of smooth mappings of manifolds with metric fields (en)
  • Přirozené operátory hladkých zobrazení variet s metrickými poli (cs)
skos:notation
  • RIV/00216224:14310/04:00010322!RIV09-GA0-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/03/0512), Z(MSM 143100006)
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
  • 575478
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/04:00010322
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • natural operators; differential invariants (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [014E4DA924BF]
http://linked.open...i/riv/nazevZdroje
  • Reports on Mathematical Physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2004
http://linked.open...iv/tvurceVysledku
  • Musilová, Jana
  • Musilová, Pavla
http://linked.open...ain/vavai/riv/wos
  • 000225310100010
http://linked.open...n/vavai/riv/zamer
issn
  • 0034-4877
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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