A hyperbolic linear map 
with integer entries
in the transformation matrix and determinant 
is an Anosov
diffeomorphism of the 
-torus, called an Anosov automorphism
(or hyperbolic automorphism). Here, the term automorphism is used in the group
theory sense.
Anosov Automorphism
See also
Anosov DiffeomorphismExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Anosov Automorphism." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AnosovAutomorphism.html