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  • Abstract. First we study the flow prolongation of projectable vector fields with respect to a bundle functor of order (r,s,q) on the category of fibered manifolds. Usign this approach, we constructs an operator transforming connections on a fibered manifold Y into connections on an arbitrary vertical bundle over Y. Then we deduce that this operator is the only natural one of finite order and we present a condition on vertical bundles over Y under which every natural operator in question has finite order.
  • Abstract. First we study the flow prolongation of projectable vector fields with respect to a bundle functor of order (r,s,q) on the category of fibered manifolds. Usign this approach, we constructs an operator transforming connections on a fibered manifold Y into connections on an arbitrary vertical bundle over Y. Then we deduce that this operator is the only natural one of finite order and we present a condition on vertical bundles over Y under which every natural operator in question has finite order. (en)
  • Abstract. First we study the flow prolongation of projectable vector fields with respect to a bundle functor of order (r,s,q) on the category of fibered manifolds. Usign this approach, we constructs an operator transforming connections on a fibered manifold Y into connections on an arbitrary vertical bundle over Y. Then we deduce that this operator is the only natural one of finite order and we present a condition on vertical bundles over Y under which every natural operator in question has finite order. (cs)
Title
  • Natural lifting of connections to vertical bundles
  • Natural lifting of connections to vertical bundles (en)
  • Natural lifting of connections to vertical bundles (cs)
skos:prefLabel
  • Natural lifting of connections to vertical bundles
  • Natural lifting of connections to vertical bundles (en)
  • Natural lifting of connections to vertical bundles (cs)
skos:notation
  • RIV/00216224:14310/00:00003555!RIV09-GA0-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/99/0296), Z(MSM 143100009)
http://linked.open...iv/cisloPeriodika
  • 63
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
  • 718680
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/00:00003555
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • natural bundle; natural lifting; connection (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • IT - Italská republika
http://linked.open...ontrolniKodProRIV
  • [F7E4EE055148]
http://linked.open...i/riv/nazevZdroje
  • Rendiconti del Circolo Matematico di Palermo
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
  • 2000
http://linked.open...iv/tvurceVysledku
  • Kolář, Ivan
  • Mikulski, Wlodzimierz
http://linked.open...n/vavai/riv/zamer
issn
  • 0009-725X
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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