In this work we present a study of topics related to the Aharonov-Bohm (AB) e®ect. Our framework is that of nonrelativistic quantum mechanics and we use the point of view of mathematical physics. (1) We study the solenoid ...

Let be a N-dimensional smooth manifold. Consider a locally integrable structure L of CT with fiber dimension 1 &#8804; n < N and set m = N &#8722; n. We say that L is locally integrable if, for every p &#8712; , there ...

In this work we study group gradings on the upper triangular matrices algebra UTn(F), which have several applications in the PI-algebra theory. Our main purpose is to exhibit a description of all _nite gradings of UTn(F) ...

In this work we study a reaction-difusion problem with nonlinear Neumann boundary condition. The objective is to present suficient conditions on the diffusion coeficient so that the problem has an stable nonconstant ...

In this work, following [15], we will use the technique of matched asymptotic expansions to study the movement of interface for the solutions of an advection-reaction- difuusion equations and the equation of reaction-difusion ...

In this work we develop the transformation theory for isothermic surfaces in Euclidean space IR3 due to Darboux and Bianchi. As a consequence, we describe a method for constructing new solutions of the nonlinear system of ...

The objective of this work is to detail and to analyze consequences of a recent paper of P. Pergher, which deals with the construction of an indexhomomorphism associated to spaces equipped with free actions of the cyclic ...

In this work we present a construction of classifying spaces for principal bundles by studying simplicial and co-simplicial objects over a category and as application we present the construction of Eilenberg-MacLane ...

The classic Theorems of Borsuk-Ulam and Ljusternik-Schnirelmann have many generalizations, among which we point out that given by C. Schupp [12] and H. Steinlein [14]. Schupp generalizes the Borsuk-Ulam Theorem by replacing ...