Volume Preserving Diffeomorphisms with Weak and Limit Weak Shadowing
Dynamical Systems
2012-03-19 v2
Abstract
Let f be a volume-preserving diffeomorphism of a closed C1 n-dimensional Riemannian manifold M: In this paper, we prove the equivalence between the following conditions: (a) f belongs to the C1-interior of the set of volume-preserving diffeomorphisms which satisfy the weak shadowing property, (b) f belongs to the C1-interior of the set of volume-preserving diffeomorphisms which satisfy the limit weak shadowing property, (c) f is Anosov.
Keywords
Cite
@article{arxiv.1104.5063,
title = {Volume Preserving Diffeomorphisms with Weak and Limit Weak Shadowing},
author = {Manseob Lee},
journal= {arXiv preprint arXiv:1104.5063},
year = {2012}
}
Comments
9 pages. arXiv admin note: substantial text overlap with arXiv:1105.5917