Global Injectivity
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. Uma condição de injetividade e a estabilidade assintótica global no plano / A injectividade condition and the global asymptotic estability on the plane
In this work we are interested in the solution of the following problem: Let Y = ( f ,g) be a vector field of class C1 in R2. Suppose that (x, y) = (0,0) is a singular point of Y and assume that for any q ∈ R2, the eigenvalues of DY have negative real part, this is, det(DY) >0 and tr(DY) <0. Then, the solution (x, y) = (0,0) of Y is globally asymptotic
Publicado em: 2010
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2. Global injectivity for applications between euclidean spaces / Injetividade global para aplicações entre espaços euclideanos
We present some results which give suficient conditions for a local diffeomorphism from the n-dimensional Euclidean space into itself be globally injective. Within this context, we consider some partial results addressed to solve the well known Fixed Point Conjecture and Jacobian Conjecture. From the dynamical point of view, there are connections between glo
Publicado em: 2007
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3. Alguns aspectos da geometria riemanniana das variedades de Hilbert
The aim of this work is to formalize the local theory of infinite dimensional Riemannian manifold and to study the geometry/ topology when the sectional curvature is bounded by two positive constant. We compare this situation with the finite dimensional case and emphasize the difference. The local theory was already developed since 1960, so we describe, brie
Publicado em: 2002