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Description
  • We show how the double vector bundle structure of the manifold of double velocities, with its submanifolds of holonomic and semiholonomic double velocities, is mirrored by a structure of holonomic and semiholonomic subgroups in the principal prolongation of the first jet group. We use the actions of these groups to construct holonomic and semiholonomic submanifolds in the manifold of double contact elements, and show that these give rise to affine bundles where a semiholonomic element has well-defined holonomic and curvature components.
  • We show how the double vector bundle structure of the manifold of double velocities, with its submanifolds of holonomic and semiholonomic double velocities, is mirrored by a structure of holonomic and semiholonomic subgroups in the principal prolongation of the first jet group. We use the actions of these groups to construct holonomic and semiholonomic submanifolds in the manifold of double contact elements, and show that these give rise to affine bundles where a semiholonomic element has well-defined holonomic and curvature components. (en)
Title
  • Double structures and jets
  • Double structures and jets (en)
skos:prefLabel
  • Double structures and jets
  • Double structures and jets (en)
skos:notation
  • RIV/61988987:17310/12:A13016A6!RIV13-GA0-17310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0981)
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
  • 132126
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17310/12:A13016A6
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Double structure; velocity; contact element; principal prolongation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [F3E92A69041C]
http://linked.open...i/riv/nazevZdroje
  • Differential Geometry and its Applications
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
  • 30
http://linked.open...iv/tvurceVysledku
  • Saunders, David john
issn
  • 0926-2245
number of pages
http://localhost/t...ganizacniJednotka
  • 17310
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