On local injectivity and asymptotic linearity of quasiregular mappings
Volume 128 / 1998
Studia Mathematica 128 (1998), 243-271
DOI: 10.4064/sm-128-3-243-271
Abstract
It is shown that the approximate continuity of the dilatation matrix of a quasiregular mapping f at $x_0$ implies the local injectivity and the asymptotic linearity of f at $x_0$. Sufficient conditions for $log|f(x) - f(x_0)|$ to behave asymptotically as $log|x - x_0|$ are given. Some global injectivity results are derived.
