5 papers
Tomter's example revisited
Danyu Zhang
We construct examples of fibrewise Anosov flows over the Fenley--Mann--Potrie example of dimension 4. This is a family of non-algebraic Anosov flows with unstable dimension …
An obstruction to fiberwise Anosov flows over 3-dimensional Anosov flows
Neige Paulet, Danyu Zhang
We study obstructions preventing a three-dimensional Anosov flow from serving as the base of a fiberwise Anosov flow. We prove a non-existence result if the base flow admits infini…
New examples of Anosov flows on higher dimensional manifolds which fibre over -dimensional Anosov flows
Danyu Zhang
We construct non-algebraic Anosov flows in dimension , , by suspending the action of the fundamental group of a finite cover of the Bonatti-Langevin flow.
Anosov Diffeomorphisms on a Product of Surfaces
Danyu Zhang
We show that there is no transitive Anosov diffeomorphism with the global product structure, which is homotopic to a product of pseudo-Anosov diffeomorphisms, on a product of two c…
Structural Stability for Fibrewise Anosov Diffeomorphisms on Principal Torus Bundles
Danyu Zhang
We show a fibre-preserving self-diffeomorphism which has hyperbolic splittings along the fibres on a compact principal torus bundle is topologically conjugate to a map that is line…