Algebraic & Geometric Topology 7 (2007) 157–180

DOI: 10.2140/agt.2007.7.157

Abstract

A 3–manifold which supports a periodic flow is a Seifert fibered space. We define a notion of almost periodic flow and give conditions under which a manifold supporting an almost periodic flow is Seifert fibered. It is well-known that R³ does not support fixed point free periodic flows, and our results include that R³ does not support certain almost periodic flows.

Keywords

3–manifold, almost periodic flow, Seifert fibered space

Mathematical Subject Classification

Primary: 37C55

Secondary: 57M50

References

Publication

Received: 27 March 2006
Accepted: 21 December 2006
Published: 29 March 2007

Authors