There are no structurally stable diffeomorphisms of odd-dimensional manifolds with codimension one non-orientable expanding attractors

V. Medvedev; E. Zhuzhoma

There are no structurally stable diffeomorphisms of odd-dimensional manifolds with codimension one non-orientable expanding attractors

Dynamical Systems 2007-05-23 v2

Authors: V. Medvedev , E. Zhuzhoma

Abstract

We prove that a structurally stable diffeomorphism of a closed (2m+1)-manifold has no codimension one non-orientable expanding attractors.

Keywords

structurally stable diffeomorphism odd-dimensional manifold codimension one non-orientable expanding attractor

Cite

@article{arxiv.math/0404416,
  title  = {There are no structurally stable diffeomorphisms of odd-dimensional manifolds with codimension one non-orientable expanding attractors},
  author = {V. Medvedev and E. Zhuzhoma},
  journal= {arXiv preprint arXiv:math/0404416},
  year   = {2007}
}