Contents |
In 1993 K. Kuperberg constructed examples of smooth
flows without periodic orbits on any closed 3-manifold. These examples
continue to be the only known examples with such properties and are constructed using plugs. A. Katok's theorem implies that such flow have topological entropy equal to zero.
In an earlier work, S. Hurder and I studied the topology of the minimal set of these plugs. After reviewing K. Kuperberg's construction, I will present a $C^\infty$-small pertubartion of the construction whose flow has positive entropy. |
|