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.
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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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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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