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arXiv · 0812.3389

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

Hamidou Dathe·Philippe Rukimbira
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Abstract

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.

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Hamidou Dathe, Philippe Rukimbira. 2008-12-17. Contact deformations of closed 1-forms on Torus bundles over the circle. https://arxiv.org/abs/0812.3389

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