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Content available remote On invariants of fluid mechanics tensors
This paper presents physical interpretations of the first and second invariants of tensors of fluid mechanics. Some examples of elementary applications and meanings are also given.
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.
Content available remote On tensor products in concrete categories
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 some special properties of tensor products and of concrete categories with tensor products for: arbitrary topological spaces, compact spaces, left modules, right H-comodules and left H-modules, for H a Hopf algebra.
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