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On singular foliations on the solid torus

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Abstract

We study smooth foliations on the solid torus S1×D2 having S1×{0} and S1×∂D2 as the only compact leaves and S1×{0} as singular set. We show that all other leaves can only be cylinders or planes, and give necessary conditions for the foliation to be a suspension of a diffeomorphism of the disc. © 2013 Elsevier B.V.

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Foliations, Solid torus, Vector fields

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English

Citation

Topology and its Applications, v. 160, n. 13, p. 1659-1674, 2013.

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