Constructions of contact forms on products and piecewise fibered manifolds

Abstract

We study constructions of contact forms on closed manifolds. A notion of strong symplectic fold structure is defined and we prove that there is a contact form on $M \x X$ provided that $M$ admits such a structure and $X$ is contact. This result is extended to fibrations satisfying certain natural conditions. Some examples and applications are given.

23 pages, 3 figures. It is a new and rewritten version of previously submitted article. Some errors were corrected and some proofs were simplified. The material is presented in a more readable manner. Comments are welcome

References in corpus (6)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• On generalizing Lutz twists
• Kahler decomposition of 4-manifolds
• Contact structures on 5-manifolds
• Almost contact 5-folds are contact
• Contact structures on M \times S^2

Cited by in corpus (5)

• The topology of Stein fillable manifolds in high dimensions I
• The topology of Stein fillable manifolds in high dimensions II
• Almost contact 5-folds are contact
• Contact structures on M \times S^2
• Contact Symplectic Fibrations and Fiber Connected Sum