3 research outputs found
Trivial centralizers for Axiom A diffeomorphisms
We show there is a residual set of non-Anosov Axiom A
diffeomorphisms with the no cycles property whose elements have trivial
centralizer. If is a surface and , then we will show
there exists an open and dense set of of Axiom A diffeomorphisms with the
no cycles property whose elements have trivial centralizer. Additionally, we
examine commuting diffeomorphisms preserving a compact invariant set
where is a hyperbolic chain recurrent class for one of the
diffeomorphisms.Comment: 18 page