English

Structural Stability for Fibrewise Anosov Diffeomorphisms on Principal Torus Bundles

Dynamical Systems 2022-10-04 v2

Abstract

We show a fibre-preserving self-diffeomorphism which has hyperbolic splittings along the fibres on a compact principal torus bundle is topologically conjugate to a map that is linear in the fibres.

Keywords

Cite

@article{arxiv.2105.07118,
  title  = {Structural Stability for Fibrewise Anosov Diffeomorphisms on Principal Torus Bundles},
  author = {Danyu Zhang},
  journal= {arXiv preprint arXiv:2105.07118},
  year   = {2022}
}