Author:
VALENZUELA-HENRÍQUEZ FRANCISCO
Abstract
Let $f:M\rightarrow M$ be a biholomorphism on a two-dimensional complex manifold, and let $X\subseteq M$ be a compact $f$-invariant set such that $f|_{X}$ is asymptotically dissipative and without periodic sinks. We introduce a solely dynamical obstruction to dominated splitting, namely critical point. Critical point is a dynamical object and captures many of the dynamical properties of a one-dimensional critical point.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
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