Preprint D91/2011
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}.