Contact deformations of closed 1-forms on Torus bundles over the circle
Differential Geometry
2008-12-18 v1
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.
Cite
@article{arxiv.0812.3389,
title = {Contact deformations of closed 1-forms on Torus bundles over the circle},
author = {Hamidou Dathe and Philippe Rukimbira},
journal= {arXiv preprint arXiv:0812.3389},
year = {2008}
}
Comments
8 pages