A characterization of the standard Reeb flow

Details A characterization of the standard Reeb flow A characterization of the standard Reeb flow

2011-03-16

arxiv.org/abs/1103.3084v2

Mathematics

Dynamical Systems

5 pages

Scientific paper

Among the topological conjugacy classes of the continuous flows $\{\phi^t\}$
whose orbit foliations are the planar Reeb foliation, there is one class called
the standard Reeb flow. We show that $\{\phi^t\}$ is conjugate to the standard
Reeb flow if and only if $\{\phi^t\}$ is conjugate to $\{\phi^{\lambda t}\}$
for any $\lambda>0$.

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