Tight contact structures and Anosov flows
Joint work with Robert Ghrist.
Topol. and its Appl. 124 (2002), 211-219.

Based on a result of Mitsumatsu, we describe an obstruction to the existence of Anosov flows on three-manifolds which relies on tight contact structures and homotopy types of plane fields. This yields a new proof of the nonexistence of Anosov flows on $S^3$ via contact topology (and in particular without use of Novikov's Theorem on foliations).

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