Separating diffeomorphisms of the torus
Matematičeskie zametki, Tome 18 (1975) no. 1, pp. 41-49
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There exists a diffeomorphism on the $n$-dimensional torus $T^n$ which is conjugate with a hyperbolic linear automorphism, but is not an Anosov diffeomorphism. A diffeomorphism $f:T^n\to T^n$ has such a property if $f$ is separating and belongs to the $C_0$ closure of the Anosov diffeomorphisms.