|タイトル||Contact Anosov flows on hyperbolic 3-manifolds (with Patrick Foulon and Anne Vaugon)|
|講演者||Boris Hasselblatt 氏（Tufts University）|
|内容||Geodesic flows of Riemannian or Finsler manifolds provided the
original examples in the quest for the Maxwell-Boltzmann ergodic
hypothesis, and they have been the only known contact Anosov flows. We show that even in dimension 3 the world of contact Anosov flow is vastly larger via a surgery construction that produces flows not topologically equivalent to any algebraic flow. This includes examples on many hyperbolic 3-manifolds, any of which have remarkable dynamical and geometric properties.