. "On the curvature of tensor product connections and covariant differentials"@en . . "Supplemento di Rendiconti del Circolo Matematico di Palermo" . "14310" . . . "RIV/00216224:14310/04:00024526" . . "1"^^ . "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." . . "1"^^ . "linear connection; curvature; covariant differential"@en . "O k\u0159ivosti tensorov\u00E9ho sou\u010Dinu konex\u00ED"@cs . "IT - Italsk\u00E1 republika" . . "RIV/00216224:14310/04:00024526!RIV09-GA0-14310___" . . "P(GA201/02/0225)" . "72" . . . "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 . . "0009-725X" . "On the curvature of tensor product connections and covariant differentials"@en . "On the curvature of tensor product connections and covariant differentials" . "O k\u0159ivosti tensorov\u00E9ho sou\u010Dinu konex\u00ED"@cs . "Jany\u0161ka, Josef" . "On the curvature of tensor product connections and covariant differentials" . "[373079FB6F7A]" . "Je d\u00E1no sou\u0159adnicov\u00E9 vyja\u00E1d\u0159en\u00ED a geometrick\u00FD popis k\u0159ivosti tensorov\u00E9ho sou\u010Dinu konex\u00ED. Je definov\u00E1no kovariantn\u00ED derivov\u00E1n\u00ED geometrick\u00FDch pol\u00ED vzhledem k tensorov\u00E9mu sou\u010Dinu konex\u00ED."@cs . . "577858" . "9"^^ . . "1" . . .