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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