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math.DS2026
Construction of Anosov flows on fibered hyperbolic 3-manifolds
François Béguin, Christian Bonatti, Biao Ma +1
We prove that fibered hyperbolic -manifolds carrying transitive Anosov flows are abundant. More precisely, for every , there is a finite index subgroup~ of $ \mathr…
math.DS2024
Oriented Birkhoff sections of Anosov flows
Masayuki Asaoka, Christian Bonatti, Théo Marty
This paper gives 3 different proofs (independently obtained by the 3 authors) of the following fact: given an Anosov flow on an oriented 3 manifold, the existence of a positive Bir…
math.DS2024
Heterodimensional cycles of hyperbolic ergodic measures
Christian Bonatti, Lorenzo J. Diaz, Katrin Gelfert
We introduce the concept of a heterodimensional cycle of hyperbolic ergodic measures and a special type of them that we call rich. Within a partially hyperbolic context, we prove t…