Local rigidity of Lyapunov spectrum for toral automorphisms

Research output: Contribution to journalArticle

Abstract

We study the regularity of the conjugacy between an Anosov automorphism L of a torus and its small perturbation. We assume that L has no more than two eigenvalues of the same modulus and that L4 is irreducible over ℚ. We consider a volume-preserving C1-small perturbation f of L. We show that if Lyapunov exponents of f with respect to the volume are the same as Lyapunov exponents of L, then f is C1+Hölder conjugate to L. Further, we establish a similar result for irreducible partially hyperbolic automorphisms with two-dimensional center bundle.

Original languageEnglish (US)
JournalIsrael Journal of Mathematics
DOIs
StateAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Local rigidity of Lyapunov spectrum for toral automorphisms'. Together they form a unique fingerprint.

  • Cite this