Boothby–Wang fibrations on complex contact manifolds

✍ Scribed by Brendan Foreman

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 142 KB
• Volume: 13
• Category: Article
• ISSN: 0926-2245
• DOI: 10.1016/s0926-2245(00)00025-5

✦ Synopsis

Since the Boothby-Wang fibrations form an important class of real (strict) contact manifolds, we endeavor to find a similar type of fibration for complex contact manifolds. We use the dual symplectic structures found on complex-symplectic manifolds, in order to generate two related yet distinct Boothby-Wang fibrations. Then we show that the "Whitney Sum" of these S 1 -bundles is the object we are looking for. Examples follow.