Contact deformations of closed 1-forms on Torus bundles over the circle

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If a closed 3-manifold M supports a closed, nonsingular, irrational 1-form which linearly deforms into contact forms, then M supports a K-contact form. On the 3-torus, a closed nonsingular 1-form deforms linearly into contact forms if and only if it is a fibration 1-form. on any other 2-torus bundle over the circle, every closed, nonsingular 1-form deforms linearly into contact forms.
8 pages

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Differential Geometry, 53D10; 53C12

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http://salesiana.dossiersoluciones.com/handle/123456789/211764

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.3389
 http://arxiv.org/abs/0812.3389

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arXiv