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  • Abstract. We study the second order connections in the sense of C. Ehresmann. On a fibered manifold Y, such a connection is a section from Y into the second non-holonomic jet prolongation of Y. Our main aim is to extend the classical theory to the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. This requires several new geometric results about the second order connections on Y, which are deduced in the first part of the paper.
  • Abstract. We study the second order connections in the sense of C. Ehresmann. On a fibered manifold Y, such a connection is a section from Y into the second non-holonomic jet prolongation of Y. Our main aim is to extend the classical theory to the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. This requires several new geometric results about the second order connections on Y, which are deduced in the first part of the paper. (en)
Title
  • Second order connections on some functional bundles
  • Second order connections on some functional bundles (en)
skos:prefLabel
  • Second order connections on some functional bundles
  • Second order connections on some functional bundles (en)
skos:notation
  • RIV/00216224:14310/99:00003554!RIV/2002/GA0/143102/N
http://linked.open.../vavai/riv/strany
  • 347-365
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/99/0296)
http://linked.open...iv/cisloPeriodika
  • 4
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
  • 753457
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/99:00003554
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Second order connections on some functional bundles (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [7083A815D489]
http://linked.open...i/riv/nazevZdroje
  • Archivum Mathematicum
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 1999
http://linked.open...iv/tvurceVysledku
  • Kolář, Ivan
  • Cabras, Antonella
issn
  • 0044-8753
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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