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タイトル Contact Anosov flows on hyperbolic 3-manifolds (with Patrick Foulon and Anne Vaugon)
開催日時 2014年6月6日 17:00-18:00
主催者
講演者 Boris Hasselblatt 氏(Tufts University)
場所 矢上キャンパス14-733(14棟7階ミーティング3)
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.
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