On Local and Global Rigidity of Quasiconformal

  title={On Local and Global Rigidity of Quasiconformal},
  author={Victoria Sadovskaya},
We consider a transitive uniformly quasiconformal Anosov diffeomorphism f of a compact manifold M. We prove that if the stable and unstable distributions have dimensions greater than two, then f is C∞ conjugate to an affine Anosov automorphism of a finite factor of a torus. If the dimensions are at least two, the same conclusion holds under additional… CONTINUE READING