Abstract
We consider an irreducible Anosov automorphism L of a torus T d such that no three eigenvalues have the same modulus. We show that L is locally rigid, that is, L is C 1+Holder conjugate to any C 1 -small perturbation f such that the derivative Dpf n is conjugate to L n whenever f n p = p. We also prove that toral automorphisms satisfying these assumptions are generic in SL(d,Z). Examples constructed in the Appendix show the importance of the assumption on the eigenvalues.
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