Global injectivity for applications between euclidean spaces / Injetividade global para aplicações entre espaços euclideanos
AUTOR(ES)
Yuri Cândido da Silva Ribeiro
DATA DE PUBLICAÇÃO
2007
RESUMO
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 global injectivity and global asymptotic stability. In this way, we present a solution of the Markus-Yamabe Conjecture and of the LaSalle Problem
ASSUNTO(S)
global attractor. global injectivity atrator global jacobian conjecture estabilidade assintótica global injetividade global conjectura de markus-yamabe global asymptotic stability markus-yamabe conjecture conjectura jacobiana
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