International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 4, Pages 555-560

Fibrations and contact structures

Hamidou Dathe1 and Philippe Rukimbira2

1Département de Mathématique, Physique et Informatique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop (UCAD), Dakar, Senegal
2Department of Mathematics, Florida International University, Miami 33199, FL, USA

Received 18 May 2004; Revised 8 October 2004

Copyright © 2005 Hamidou Dathe and Philippe Rukimbira. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We prove that a closed 3-dimensional manifold is a torus bundle over the circle if and only if it carries a closed nonsingular 1-form which is linearly deformable into contact forms.