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Description
  • Let $\Gamma$ be a principal connection on a principal bundle $\pi:P\to M$ and let $\Lambda$ be a linear connection on $M$. We describe all possible natural prolongations of $\Gam$, with respect to $\Lam$, to principal connections on the principal gauge prolongation $W^rP$ of $P$. For $r=1,2$ we give the full classification, for $r\ge 3$ we give a base of natural operators which generates all possible natural principal connections on $W^rP$.
  • Let $\Gamma$ be a principal connection on a principal bundle $\pi:P\to M$ and let $\Lambda$ be a linear connection on $M$. We describe all possible natural prolongations of $\Gam$, with respect to $\Lam$, to principal connections on the principal gauge prolongation $W^rP$ of $P$. For $r=1,2$ we give the full classification, for $r\ge 3$ we give a base of natural operators which generates all possible natural principal connections on $W^rP$. (en)
Title
  • Natural principal connections on the principal gauge prolongation of a principal bundle
  • Natural principal connections on the principal gauge prolongation of a principal bundle (en)
skos:prefLabel
  • Natural principal connections on the principal gauge prolongation of a principal bundle
  • Natural principal connections on the principal gauge prolongation of a principal bundle (en)
skos:notation
  • RIV/00216224:14310/09:00029778!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0981), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika
  • 3
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
  • 328621
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/09:00029778
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • natural bundle; gauge-natural bundle; natural operator; principal bundle; principal connection (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [0A8A97D2DB38]
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
  • 64
http://linked.open...iv/tvurceVysledku
  • Janyška, Josef
  • Vondra, Jan
http://linked.open...ain/vavai/riv/wos
  • 000272851800003
http://linked.open...n/vavai/riv/zamer
issn
  • 0034-4877
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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