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Description
  • Je dáno souřadnicové vyjaádření a geometrický popis křivosti tensorového součinu konexí. Je definováno kovariantní derivování geometrických polí vzhledem k tensorovému součinu konexí. (cs)
  • We give coordinate formula and geometric description of the curvature of the tensor product connection of linear connections on vector bundles with the same base manifold. We define the covariant differential of geometric fields of certain types with respect to a pair of a linear connection on a vector bundle and a linear symmetric connection on the base manifold. We prove the generalized Bianchi identity for linear connections and we prove that the antisymmetrization of the second order covariant differential is expressed via the curvature tensors of both connections.
  • We give coordinate formula and geometric description of the curvature of the tensor product connection of linear connections on vector bundles with the same base manifold. We define the covariant differential of geometric fields of certain types with respect to a pair of a linear connection on a vector bundle and a linear symmetric connection on the base manifold. We prove the generalized Bianchi identity for linear connections and we prove that the antisymmetrization of the second order covariant differential is expressed via the curvature tensors of both connections. (en)
Title
  • On the curvature of tensor product connections and covariant differentials
  • On the curvature of tensor product connections and covariant differentials (en)
  • O křivosti tensorového součinu konexí (cs)
skos:prefLabel
  • On the curvature of tensor product connections and covariant differentials
  • On the curvature of tensor product connections and covariant differentials (en)
  • O křivosti tensorového součinu konexí (cs)
skos:notation
  • RIV/00216224:14310/04:00024526!RIV09-GA0-14310___
http://linked.open...avai/riv/aktivita
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  • P(GA201/02/0225)
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  • 1
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  • 577858
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  • RIV/00216224:14310/04:00024526
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  • linear connection; curvature; covariant differential (en)
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  • IT - Italská republika
http://linked.open...ontrolniKodProRIV
  • [373079FB6F7A]
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  • Supplemento di Rendiconti del Circolo Matematico di Palermo
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  • 72
http://linked.open...iv/tvurceVysledku
  • Janyška, Josef
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  • 0009-725X
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  • 14310
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