Seifert manifolds admitting partially hyperbolic diffeomorphisms
classification
🧮 math.DS
math.GN
keywords
hyperbolicpartiallyadmitsdiffeomorphismsmanifoldsseiferttransitiveadmit
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We characterize which 3-dimensional Seifert manifolds admit transitive partially hyperbolic diffeomorphisms. In particular, a circle bundle over a higher-genus surface admits a transitive partially hyperbolic diffeomorphism if and only if it admits an Anosov flow.
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