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math.DS2026
Tomter's example revisited
Danyu Zhang
We construct examples of fibrewise Anosov flows over the Fenley--Mann--Potrie example of dimension 4, which is a family of non-algebraic Anosov flows with unstable dimension …
math.DS2026
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…
math.DS2022
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…