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Description
  • Zobecňujeme pojem rychlosti vyššího řádu a interpretujeme Weilův bandl jako prostor A-rychlostí pro libovolnou Weilovu algebru A. Odvozujeme řadu geometrických výsledků o weilovských prodlouženích různých geometrických objektů. Charakterizujeme fibrované součiny zachovavající funktory na fibrovaných varietách jetovým způsobem a diskutujeme několik typů aplikací. (cs)
  • We generalize the concept of higher order velocity and we interpret a Weil bundle as the space of A-velocities for an arbitrary Weil algebra A. We deduce geometric results on Weilian prolongations of various geometric objects. We characterize every fiber product preserving bundle functor on fibered manifolds in a jet-like manner and discuss some applications.
  • We generalize the concept of higher order velocity and we interpret a Weil bundle as the space of A-velocities for an arbitrary Weil algebra A. We deduce geometric results on Weilian prolongations of various geometric objects. We characterize every fiber product preserving bundle functor on fibered manifolds in a jet-like manner and discuss some applications. (en)
Title
  • Weil bundles as generalized jet spaces
  • Weil bundles as generalized jet spaces (en)
  • Weilovy bandly jako zobecněné jetové prostory (cs)
skos:prefLabel
  • Weil bundles as generalized jet spaces
  • Weil bundles as generalized jet spaces (en)
  • Weilovy bandly jako zobecněné jetové prostory (cs)
skos:notation
  • RIV/00216224:14310/08:00024617!RIV09-GA0-14310___
http://linked.open...avai/riv/aktivita
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  • P(GA201/05/0523), Z(MSM0021622409)
http://linked.open...vai/riv/dodaniDat
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  • 405663
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  • RIV/00216224:14310/08:00024617
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  • Weil algebra; Weil bundle; jet space; connection; curvature; torsion (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [4A367521EDCC]
http://linked.open...i/riv/mistoVydani
  • Amsterdam
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  • Elsevier publications
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  • Handbook of Global Analysis
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  • Kolář, Ivan
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Elsevier
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  • 978-981-279-060-6
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  • 14310
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