Partially hyperbolic diffeomorphisms in dimension 3

Abstract: These diffeomorphisms exhibit weaker forms of hyperbolicity and are extremely common. We study these in dimension 3 and prove some rigidity or classification results. We assume that the diffeomorphism is homotopic to the identity, and show that certain invariant foliations associated with the diffeomorphism have a structure that is well determined. This has some important consequences when the manifold is either hyperbolic or Seifert: under certain conditions we prove the diffeomorphism is the time one map of a topological Anosov flow.
  • Partially hyperbolic diffeomorphisms in dimension 3
  • 2018-02-07T14:30:00-03:00
  • 2018-02-07T15:30:00-03:00
  • Abstract: These diffeomorphisms exhibit weaker forms of hyperbolicity and are extremely common. We study these in dimension 3 and prove some rigidity or classification results. We assume that the diffeomorphism is homotopic to the identity, and show that certain invariant foliations associated with the diffeomorphism have a structure that is well determined. This has some important consequences when the manifold is either hyperbolic or Seifert: under certain conditions we prove the diffeomorphism is the time one map of a topological Anosov flow.
  • Cuándo 07/02/2018 de 14:30 a 15:30 (America/Montevideo / UTC-300)
  • Dónde Salón de Seminarios IMERL
  • Speaker Sergio Fenley
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