On local diffeomorphisms of Rn that are injective
There are obtained conditions under which maps from R n to itself are globally injective. In particular there are proved some partial results related to the Weak Markus-Yamabe Conjecture which states that if a vector field X:R n →R n has the property that, for all p ∈R n , all the eigenvalues of DX(p) have negative real part, thenX has at most one singularity.
Autor(es):Fernandes, Alexandre
Gutierrez, Carlos
Rabanal, Roland
Año: 2004
Título de la revista: Qualitative Theory of Dynamical Systems
Volumen: 4
Número: 2
Página inicial - Página final: 255–262
Url: https://link.springer.com/article/10.1007%2FBF02970861