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On closed manifolds admitting an Anosov diffeomorphism but no expanding map
Jonas Deré, Thomas Witdouck
A few years ago, the first example of a closed manifold admitting an Anosov diffeomorphism but no expanding map was given. Unfortunately, this example is not explicit and is high-d…
Anosov diffeomorphisms on infra-nilmanifolds associated to graphs
Jonas Deré, Meera Mainkar
Anosov diffeomorphisms on closed Riemannian manifolds are a type of dynamical systems exhibiting uniform hyperbolic behavior. Therefore their properties are intensively studied, in…
Expanding maps and non-trivial self-covers on infra-nilmanifolds
Karel Dekimpe, Jonas Deré
Every expanding map on a closed manifold is topologically conjugate to an expanding map on an infra-nilmanifold, but not every infra-nilmanifold admits an expanding map. In this ar…
Existence of Anosov diffeomorphisms on infra-nilmanifolds modeled on free nilpotent Lie groups
Karel Dekimpe, Jonas Deré
An infra-nilmanifold is a manifold which is constructed as a quotient space of a simply connected nilpotent Lie group , where is a discrete group acting prop…