Persistent nonhyperbolic transitive diffeomorphisms (Q1912829)

The paper constructs a large class of \(C^1\)-persistent, nonhyperbolic, transitive diffeomorphisms of a closed manifold of dimension \(m \geq 3\) that carries a \(C^\infty\) transitive Anosov vector field. Some of them are isotopic to the identity. Others are partially hyperbolic diffeomorphisms with a central space of dimension greater than one. An essential element of the proofs is the use of so-called center-stable blenders, which are kinds of higher-dimensional horseshoes.