Anosov Automorphism

A Hyperbolic linear map $\Bbb{R}^n\to\Bbb{R}^n$ with Integer entries in the transformation Matrix and Determinant $\pm 1$ is an Anosov Diffeomorphism of the $n$-Torus, called an Anosov automorphism (or Hyperbolic Automorphism). Here, the term automorphism is used in the Group Theory sense.