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Detecting when a
nonsingular flow is transverse to a foliation
Sandra Shields |
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Vol. 250 (2011), No. 1, 205–224
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Abstract |
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We show that any foliation transverse to a C1 nonsingular flow ϕ on a closed 3-manifold can be detected algorithmically. We use this to describe a procedure that, for any δ > 0, will determine whether or not there is a foliation whose tangent space is bounded away from the tangent space to ϕ by a distance of δ. |
Keywords
foliation, transverse flow, branched surface
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Mathematical Subject Classification 2000
Primary: 57M50, 57R30
Secondary: 57N10, 57M10, 57M20
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Milestones
Received: 11 September 2009
Accepted: 29 October 2009
Published: 1 March 2011
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Authors |
| Sandra Shields | |
| College of Charleston 66 George Street Charleston, SC 29424-1001 United States |
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