Contact structures on M \times S^2

Abstract

We show that if a manifold M admits a contact structure, then so does M\times S^2. Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of Bourgeois showing that if M admits a contact structure then so does M\times T^2.

8 pages, minor changes

References in corpus (3)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Contact structures on 5-manifolds
• The topology of Stein fillable manifolds in high dimensions II

Cited by in corpus (1)

• The topology of Stein fillable manifolds in high dimensions II