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  • We introduce the general concept of higher order absolute differentiation that is based on the idea of semiholonomic contact elements. We clarify how the moving frame methods leads to the coordinate functions of the field of r-th contact elements on a submanifold of Klein space and ofv the r-th absolute contact differential of a submanifold of Cartan space. We point out that the standard geonmetric objects are defined on contact elements, so that they are of universal character.
  • We introduce the general concept of higher order absolute differentiation that is based on the idea of semiholonomic contact elements. We clarify how the moving frame methods leads to the coordinate functions of the field of r-th contact elements on a submanifold of Klein space and ofv the r-th absolute contact differential of a submanifold of Cartan space. We point out that the standard geonmetric objects are defined on contact elements, so that they are of universal character. (en)
Title
  • Absolute contact differentiation on submanifolds of Cartan space
  • Absolute contact differentiation on submanifolds of Cartan space (en)
skos:prefLabel
  • Absolute contact differentiation on submanifolds of Cartan space
  • Absolute contact differentiation on submanifolds of Cartan space (en)
skos:notation
  • RIV/00216224:14310/10:00042993!RIV11-GA0-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0981), Z(MSM0021622409)
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
  • 245129
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/10:00042993
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • semiholonomic contact elements; absolute contact differentiation; submanifolds of Cartan spaces; geometric objects of submanifolds (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [E5D510A8D77B]
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
  • 28
http://linked.open...iv/tvurceVysledku
  • Kolář, Ivan
  • Vitolo, Raffaele
http://linked.open...n/vavai/riv/zamer
issn
  • 0926-2245
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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