This article is cited in 4 papers

Separating diffeomorphisms of the torus

A. A. Gura

Tula Polytechnical Institute

Abstract: 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.

UDC: 517.9

Received: 14.01.1975

 English version: Mathematical Notes, 1975, 18:1, 605–610

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