Algebraic & Geometric Topology

Almost periodic flows on 3–manifolds

Kelly Delp

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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 3 does not support fixed point free periodic flows, and our results include that 3 does not support certain almost periodic flows.

Article information

Algebr. Geom. Topol., Volume 7, Number 1 (2007), 157-180.

Received: 27 March 2006
Accepted: 21 December 2006
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 37C55: Periodic and quasiperiodic flows and diffeomorphisms
Secondary: 57M50: Geometric structures on low-dimensional manifolds

3–manifold almost periodic flow Seifert fibered space


Delp, Kelly. Almost periodic flows on 3–manifolds. Algebr. Geom. Topol. 7 (2007), no. 1, 157--180. doi:10.2140/agt.2007.7.157.

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