Volume 7, issue 1 (2007)

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Almost periodic flows on 3–manifolds

Kelly Delp

Algebraic & Geometric Topology 7 (2007) 157–180
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
Primary: 37C55
Secondary: 57M50