International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 4, Pages 555-560
doi:10.1155/IJMMS.2005.555
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
Abstract
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.