Transitive partially hyperbolic diffeomorphisms on 3-manifolds |
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| Authors: | Christian Bonatti |
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| Institution: | a Université de Bourgogne, Institut de Mathématiques de Bourgogne, UMR 5584 du CNRS, BP 47 870, 21078 Dijon Cedex, France
b Department of Mathematics, Northwestern University, 2033 Sheridan Road Evanston, IL 60208-2730, USA |
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| Abstract: | The known examples of transitive partially hyperbolic diffeomorphisms on 3-manifolds belong to 3 basic classes: perturbations of skew products over an Anosov map of T2, perturbations of the time one map of a transitive Anosov flow, and certain derived from Anosov diffeomorphisms of the torus T3. In this work we characterize the two first types by a local hypothesis associated to one closed periodic curve. |
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