Flows of flowable Reeb homeomorphisms

Abstract

We consider a fixed point free homeomorphsim $h$ of the closed band $B=\mathbb{R}\times [0,1]$ which leaves each leaf of a Reeb foliation on $B$ invariant. Assuming $h$ is the time one of various topological flows, we compare the restriction of the flows on the boundary.

10 pages, 1 figure