Almost periodic flows on 3–manifolds

Delp, Kelly

doi:10.2140/agt.2007.7.157

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Almost periodic flows on 3–manifolds

Kelly Delp

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 $ℝ^{3}$ does not support fixed point free periodic flows, and our results include that $ℝ^{3}$ does not support certain almost periodic flows.

Keywords

3–manifold, almost periodic flow, Seifert fibered space

Mathematical Subject Classification 2000

Primary: 37C55

Secondary: 57M50

References

Publication

Received: 27 March 2006

Accepted: 21 December 2006

Published: 29 March 2007

Authors

Kelly Delp
Mathematics Department California Polytechnic State University San Luis Obispo CA 93407 USA

Volume 7, issue 1 (2007)