Conservative partially hyperbolic diffeomorphisms isotopic to the identity on Seifert 3-manifolds are ergodic.
Partially hyperbolic diffeomorphisms homotopic to the identity on 3-manifolds
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abstract
We announce some results towards the classification of partially hyperbolic diffeomorphisms on 3-manifolds, and outline the proofs in the case when the diffeomorphism is dynamically coherent. Detailed proofs are long and technical and will appear later.
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math.DS 1years
2019 1verdicts
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Ergodicity and partial hyperbolicity on Seifert manifolds
Conservative partially hyperbolic diffeomorphisms isotopic to the identity on Seifert 3-manifolds are ergodic.