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Description
  • Geometrical concepts induced by a smooth mappings f: M -> N on manifolds with linear connections are introduced, especially the (higher order) covariant differentials of the mapping tangent to f and the curvature of a corresponding tensor product connection. As an useful and physically meaningful consequence a basis o differential invariants for natural operators of such smooth mappings is obtained for metric connections. A relation to geometry of Riemannian manifolds is discussed.
  • Geometrical concepts induced by a smooth mappings f: M -> N on manifolds with linear connections are introduced, especially the (higher order) covariant differentials of the mapping tangent to f and the curvature of a corresponding tensor product connection. As an useful and physically meaningful consequence a basis o differential invariants for natural operators of such smooth mappings is obtained for metric connections. A relation to geometry of Riemannian manifolds is discussed. (en)
Title
  • Connection induced geometrical concepts
  • Connection induced geometrical concepts (en)
skos:prefLabel
  • Connection induced geometrical concepts
  • Connection induced geometrical concepts (en)
skos:notation
  • RIV/00216224:14310/06:00015563!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/03/0512), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika
  • 79
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
  • 469612
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/06:00015563
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • linear connection; covariant differential; natural operators; differential invariants (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • IT - Italská republika
http://linked.open...ontrolniKodProRIV
  • [944310558D4A]
http://linked.open...i/riv/nazevZdroje
  • Suppl. di Rend. Circ. Mat. 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
  • Serie II
http://linked.open...iv/tvurceVysledku
  • Musilová, Jana
  • Musilová, Pavla
http://linked.open...n/vavai/riv/zamer
issn
  • 0009-725X
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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