English

C1-stably shadowable conservative diffeomorphisms are Anosov

Dynamical Systems 2014-03-17 v1

Abstract

In this short note we prove that if a symplectomorphism f is C1-stably shadowable, then f is Anosov. The same result is obtained for volume-preserving diffeomorphisms.

Keywords

Cite

@article{arxiv.1112.3466,
  title  = {C1-stably shadowable conservative diffeomorphisms are Anosov},
  author = {Mario Bessa},
  journal= {arXiv preprint arXiv:1112.3466},
  year   = {2014}
}

Comments

4 pages

R2 v1 2026-06-21T19:51:44.421Z