Density of Axiom A for area contracting surface embeddings

C. A. Morales

Keywords: Axiom A | Surface Diffeomorphism | Area Contracting

We prove that Axiom A is open and dense in the space of $C^1$ area contracting orientation-preserving embeddings on compact orientable surfaces with boundary. This settles the area contracting version of the {\em Smale's conjecture} \cite{s}.

Anexos:

• dissip-Smale-LMS2.pdf