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Demonstratio Mathematica
EN In this paper we consider the notion of tensor product in a concrete category, in the sense of [5]. For such a tensor product, which we refer as a concrete tensor product we study some important properties: commutativity, associativity, epifunctoriality and zero object. We also consider examples and[...]
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Czasopismo Techniczne. Środowisko
EN This paper outlines the origin of the notion of the covariant derivative of the tensor field. What has been particularly emphasised are the conditions and causes of the fact that the notion "the ordinary R^3 derivative" has become inadequate, since it does not produce a tensor nor its field. The wor[...]
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51%
Demonstratio Mathematica
EN For natural numbers n > 2 and r > 1 all natural operators T* (Jr(*2T*)) lifting vector fields from n-manifolds M into 1-forms on Jr(*2T*) are classified. It's proved that the set of all natural operators A.
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