Resumen de Volume-Preserving Diffeomorphisms with the M0 -Shadowing Properties
Xinxing Wu, Xu Zhang, Fu Sun
This paper studies the M0-shadowing property for two types of volume-preserving diffeomorphisms defined on compact manifolds. For symplectic diffeomorphisms defined on symplectic manifolds, the C1-interior of the set of all symplectic diffeomorphisms with the M0-shadowing property is described by the set of the Anosov diffeomorphisms. If a volume-preserving diffeomorphism in Diff1μ(M) is a C1-stable M0-shadowing diffeomorphism, then M admits a volume-hyperbolic dominated splitting.
